Pressing the brake causes rear windshield wiper to come on.

"If the windshield wiper fluid of your Chevy Equinox ends up on the rear window instead of the windshield, there could be several possible causes:

Damaged or incorrectly connected windshield wiper fluid tube: The tube that carries the windshield wiper fluid from the reservoir to the base of the front windshield wiper may be damaged or not connected properly, causing the fluid to leak elsewhere.

Clogged windshield wiper fluid outlet: The outlet of the windshield wiper fluid on the base of the front windshield wiper may be clogged with dirt or debris, causing the fluid to flow onto another part of the car, such as the rear window.

Windshield wiper system issues: There may be a problem with the windshield wiper system of your Chevy Equinox that causes the fluid to leak onto other parts of the car instead of the windshield."

Looks like a Body Control Module communication issue.

Windshield Washer
When the washer switch is pulled towards the driver, the SASM sends the washer request to the BCM over the LIN. The BCM activates the windshield wash relay (internal to the BCM) and sends a message to the driver side windshield wiper motor. When the BCM activates the windshield wash relay, voltage is provided to the washer pump, directing washer fluid to the windshield. When the switch is released, the windshield wiper motor continues to activate the windshield wipers for 3 additional wipes and then turns the windshield wipers off.

https://www.justanswer.com/ford/74red-focus-2012-ford-focus-se-need-wiring-diagram-washer-pump.html

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Rear Wiper/Washer System Components
The rear wiper/washer system consists of the following components:
• Rear wiper/washer switch
• Window wiper module-rear
• Window washer pump-rear
• RR WIPER 15A fuse
• RR WPRB 25A fuse
Rear Wiper/Washer System Operation
The rear wiper module controls rear wiper motor operation. Battery voltage supplied to the module is used to operate the wiper motor in all modes and to return the rear wiper arm to the park position after the ignition is turned off. Accessory voltage supplied to the rear wiper/washer switch is used to supply the rear window wiper and washer switch signal circuits. In wiper switch positions 1 and 2 the wiper switch signal circuit voltage level to the wiper motor module determines the wiper motor delay interval. The rear window washer pump supply voltage circuit is used to provide the operating voltage for the rear washer pump for as long as the rear washer switch is pressed. The rear window washer switch signal circuit is used as a wash signal to the rear wiper motor module to operate the wipers during the rear wash operation.


Did you replace the rear wiper module ?

try disconnecting the pump for the mist...should be in the wiper fluid reservoir bottle and try again...if the fuse does not blow...the pump could be shorted out

Did you check the wiper relay's in the under hood fuse box ? There are two ,wiper run/park relay & wiper high low relay ! Also ,did you check fuse's ? fuse # 11 - 30amp location cental juction box . The wiper switch is a input to the GEM module . Generic electronic module . The module in most cases isn't the problem ! Learning how to test these electronic systems is , people do not know how to test so they just replace parts . What they should do is take the vehicle to ford certified Technician who has the knowledge and testing equipment to find an fix it .

The generic electronic module (GEM) receives inputs from the following:

• multifunction switch
• anti-lock brake control module (vehicle speed signal [VSS])
• ignition switch

The GEM uses these inputs to control the outputs to the following:

• windshield wiper high/low relay
• windshield wiper run/park relay
• windshield washer relay
• rear wiper motor relay
• rear window washer relay
• 
  GEM Diagnostic Trouble Code (DTC) Index DTC Description Source Action B1240 Wiper Washer Rear Pump Relay Circuit Failure GEM GO to Pinpoint Test K . B1241 Wiper Washer Rear Pump Relay Circuit Short to Battery + GEM GO to Pinpoint Test K . B1342 ECU is Defective GEM CLEAR the DTCs. REPEAT the GEM self-test. If DTC B1342 is retrieved, INSTALL a new GEM. REFER to Section 419-10 . B1431 Wiper Brake/Run Relay Circuit Failure GEM If the windshield wipers are inoperative, GO to Pinpoint Test B .
  If the windshield wipers stay on continuously, GO to Pinpoint Test C . B1432 Wiper Brake/Run Relay Circuit Short to Battery GEM GO to Pinpoint Test B . B1434 Wiper Hi/Low Speed Relay Coil Circuit Failure GEM GO to Pinpoint Test D . B1436 Wiper Hi/Low Speed Relay Coil Circuit Short to Battery GEM GO to Pinpoint Test D . B1438 Wiper Mode Select Switch Circuit Failure GEM If the windshield wipers are inoperative, GO to Pinpoint Test B .
  If both the windshield and rear window wipers are inoperative, GO to Pinpoint Test L . B1441 Wiper Mode Select Switch Circuit Short to Ground GEM GO to Pinpoint Test C . B1446 Wiper Park Sense Circuit Failure GEM If the intermittent windshield wiper speed does not operate correctly, GO to Pinpoint Test E .
  If the speed dependent interval mode does not operate correctly, GO to Pinpoint Test G .
  If both windshield and rear wipers are inoperative, GO to Pinpoint Test L . B1450 Wiper Wash/Delay Switch Circuit Failure GEM If the intermittent windshield wiper speed does not operate correctly, GO to Pinpoint Test E .
  If the wash and wipe function does not operate correctly, GO to Pinpoint Test F .
  If both the windshield and rear wipers are inoperative, GO to Pinpoint Test L . B1453 Wiper Wash/Delay Switch Circuit Short to Ground GEM If the windshield wipers stay on continuously, GO to Pinpoint Test C .
  If the wash and wipe function does not operate correctly, GO to Pinpoint Test F . B1458 Wiper Washer Pump Motor Relay Circuit Failure GEM GO to Pinpoint Test F . B1460 Wiper Washer Pump Motor Relay Coil Circuit Short to Battery GEM GO to Pinpoint Test F . B1473 Wiper Low Speed Circuit Motor Failure GEM If the windshield wipers are inoperative, GO to Pinpoint Test B .
  If the windshield wipers do not operate at high or low speed correctly, GO to Pinpoint Test D .
  If the intermittent windshield wiper speed does not operate correctly, GO to Pinpoint Test E . B1475 Accessory Delay Relay Contact Short to Battery GEM REFER to Section 501-11 . B1476 Wiper High Speed Circuit Motor Failure GEM If the windshield wipers are inoperative, GO to Pinpoint Test B .
  If the windshield wipers do not operate at high or low speed correctly, GO to Pinpoint Test D .
  If the intermittent windshield wiper does not operate correctly, GO to Pinpoint Test E . B1611 Rear Wiper Mode Switch Circuit Failure GEM GO to Pinpoint Test H . B1614 Rear Wiper Mode Switch Circuit Short to Ground GEM GO to Pinpoint Test I . B1820 Rear Wiper Motor Up Relay Circuit Short to Battery + GEM GO to Pinpoint Test H . B1839 Rear Wiper Motor Circuit Failure GEM GO to Pinpoint Test H . - All other DTCs. GEM REFER to Section 419-10

In the under hood fuse box , should have diagram inside the lid . Front wiper's or rear ? Front fuse # 36 - 25 amp. Plus Two relay's PCB hi and Wiper PCB relay . Wouldn't think this being fuse problem . Wiper switch , motor etc... The wiper's are control by a computer . BCM - body control module .

The windshield wiper/washer system consists of front and rear wipers. The front and rear wipers are operative when the vehicle is in accessory or run. The front wipers have 4 different modes: Mist, Intermittent, Low, and High. When the front wipers are in the intermittent mode, there are 5 delay modes to chose from, commanded by the windshield wiper washer switch through the body control module (BCM). The rear wipers has an only one mode.

If the fuse is bad , could have a short to ground or wiper motor pulling to much current (amps) . Fuse's don't just blow for no reason ! Could also have DTC'S - diagnostic trouble codes stored in the BCM .
DTC B3715
DTC B3873
DTC B3875
DTC B3922

DTC B3715 02: Front Wiper Relay Drive Circuit Short to Ground
The body control module (BCM) controls the wiper motor based on input from the windshield wiper washer switch. The BCM monitors the wiper washer switch through three separate signal circuits and a ground circuit. The windshield wiper switch high signal circuit is used to determine high speed wiper operation, the windshield wiper switch low signal is used to determine low speed, intermittent, and mist operation through the use of a resistor ladder, and windshield washer switch signal circuit is used to determine washer operation.
The BCM controls the windshield wiper motor through two output controls, controlling two different PCB relays which control the desired wiper speed, high or low.
DTC B3922 00: Front Wiper Function Select Circuit

The PCB relay's are non- servicable , replace fuse box . Soldered in Your best bet mit be to take it to a qualified repair shop .

the dash gauges are caused by the terminals breaking off the rear of the housing where all the connections are installed. heating could be the motor, could be the switch or possibly the fuse. same for the rear wiper could be motor, switch or fuse I hope this helps a little and the guage problem is common

Sounds like the switch or relay is defective. Have them tested and/or replaced.

If the Fuses are good and the Rear Works the Cause will be the Wiper Motor for the Windshield Wipers. Please Rate My Response! Thanks!

Principles of Operation
Operation of the windshield wiper and washer is controlled by the front wiper/washer amplifier assembly. The front wiper/washer amplifier input comes from the multifunction switch by means of a voltage divider circuit. A constant voltage is applied to the multifunction switch by the front wiper/washer amplifier. When the multifunction switch is moved into the LO, HI, or intermittent position, the voltage is directed through a series of resistors. This results in various voltages being returned to the module for each switch position. The module then grounds the appropriate circuit, based on the voltage signal received back from the multifunction switch. This causes the wipers to run intermittently, or at the appropriate speed. Voltage is supplied to the wiper motor by the CJB fuse F46 (20A).
When the multifunction switch wash button is depressed, it bypasses all of the resistors returning a full voltage signal to the module. The module then grounds the appropriate circuits to operate the windshield washer pump for as long as the switch is depressed. The windshield wiper speed is dependent on the position of the windshield wiper/washer switch.
Voltage for the windshield washer pump is also provided by CJB fuse F46 (20A).
Operation of the rear wiper and washer is controlled by the rear wiper/washer switch.
Voltage is supplied to the rear window wiper motor by the fuse junction panel fuse F44 (10A).
The rear window wiper motor ground is made or broken by the rear wiper/washer switch. When the rear wiper/washer switch is moved into the WIPER position, it grounds the rear window wiper motor circuit, causing the rear window wiper motor to run once every 10-15 seconds.
Voltage to the rear washer pump motor is also supplied by the CJB fuse F44 (10A). The rear washer pump is directly controlled by the rear wiper/washer switch which makes or breaks the ground for the washer pump motor, depending upon its position.
If the vehicle is equipped with a movable liftgate glass, a liftgate glass switch is utilized to prevent rear window wiper operation when the liftgate glass is open. This same switch also causes the rear window wiper to drop down approximately three inches when the liftgate glass latch is released.
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• The wipers stay on continuously — rear wiper

• Circuit.
• Rear wiper/washer switch.

• GO to Pinpoint Test L .

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Measure the resistance between rear wiper/washer switch C288 pin 6, component side and rear wiper/washer switch C288 pin 2, component side.

• Is the resistance less than 5 ohms with the switch depressed, and greater than 10,000 ohms with it released?

Yes GO to L2 .
No INSTALL a new rear wiper/washer switch. TEST the system for normal operation.

Measure the resistance between rear wiper/washer switch C288 pin 6, circuit WB08 (BU/YE), harness side and ground.

• Is the resistance greater than 10,000 ohms?

Yes INSTALL a new rear wiper /washer switch. TEST the system for normal operation.
No REPAIR circuit WB08 (BU/YE). TEST the system for normal operation.