Wipers come on by themselves, cannot turn off, only by pulling fuse or positioning arm in between settings

Did you check fuse's & relays ?
Rear Window Wiper Operation
The rear wiper motor is controlled by the SJB. The SJB supplies power to the rear wiper motor from the integrated rear wiper relay. The SJB will activate the relay when all of the following conditions are met:

• Ignition switch is in the ON position
• Liftgate glass and liftgate are closed
• Multi-function switch is in the ON or intermittent position

The SJB also supplies voltage to the rear wiper motor from SJB fuse 21 (15A) when the ignition switch is in the ON position. This power feed is used to continue the wipe cycle when the multi-function switch is turned to the OFF position. The SJB receives inputs from the multi-function switch that applies ground to the low speed wipe input or applies ground to the intermittent wipe input. When either of these circuits are grounded, the SJB activates the integrated rear wiper relay and power is supplied to the rear wiper motor to move the rear wiper motor from the park position. An internal switch in the rear wiper motor then moves to the run position which connects the accessory relay power to the rear wiper motor. When the rear wiper motor returns to the park position, the internal switch in the rear wiper motor moves back to the park position. If the multi-function switch is in the ON position, the rear wiper relay is still activated, power is supplied to the rear wiper motor, and the wipe cycle starts again. If the multi-function switch is in the intermittent position, the rear wiper relay does not activate until the predetermined dwell time has elapsed, at which time the SJB activates the rear wiper relay and the wipe cycle starts again. The SJB is the smart junction box .(computer )

Rear Washer System
The SJB supplies power to the rear washer pump from fuse 21 (15A) when the ignition switch is in the ON or ACC position. The rear washer pump receives ground from the multi-function switch when the wash function is turned ON. The multi-function switch also signals the SJB when the rear wash is activated and the SJB then activates the rear wiper.

Replace wiper relay and while you have the relay center open check for signs of moisture. Clean area with electric contact cleaner if corrosion not to bad.

This is a complex wiper system . Here are all the components involved !
The Wiper/Washer System consists of the following components:
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Windshield wiper/washer switch

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Body control module (BCM)

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Wiper 1 relay

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Wiper 2 relay

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Wiper diode

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Windshield wiper motor

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Windshield washer pump

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Windshield washer nozzles

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Windshield washer solvent container

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Windshield wiper arm and blade assemblies

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Windshield wiper transmission

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WIPER/SW 10A fuse

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WIPER 25A fuse

Circuit/System Description
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 windshield wiper motor park operation is controlled by the BCM. The BCM recieves an input from the park switch to determine wiper blade position. When the wiper blades are at the bottom of the windshield glass in park position the wiper park switch will open and the circuit will be pulled up to B+ by the BCM. The park signal will be pulled to ground by the wiper motor park switch while the wiper blades are not in the park position.
The BCM controls the windshield wiper motor through two output controls, controlling two relays which determine the desired wiper speed, high or low
Diagnostic Trouble Codes (DTCs)
The body control module (BCM) monitors the voltage on the windshield wiper switch signal 2 circuit for diagnostic purposes. If the circuit is shorted to voltage while the driver is commanded OFF, the BCM will store DTC B3715. If the circuit is shorted to ground while the driver is commanded ON, the BCM will store DTC B3715. Refer to DTC B3715.
It would be best to have a factory scan tool to diagnose this problem . it would make it easier anyway .
It

normally if the wiper arms park in the wrong place , it is the fitting of the wiper arms on the pivot that is wrong
try pulling the wipers back off the windscreen , run them through a cycle and then switch off normally
that will be the park position in the motor gear box
then remove each arm from the pivot and re- position it about 1" from the bottom of the screen
that will be the parked position for the wiper blades
having done that then again pull the arms back of the screen and cycle as if wiping the screen
switch of and see where the arms now park on the screen
if it is close to where you set them then that is the park position
next run the wipers a cycle and see if at full movement one arm puts the blade over the edge of the screen or hits the edge
switch off and re-position that arm closer to the bottom of the windscreen
it is time consuming but the only way to park wipers properly as there is no master spline to set in the correct position
If they park any where after this exercise ,replace the wiper unit as there is a problem in the contacts in the motor box.

first remove wiper arm again and ignition on then switch on wiper without arm, let it run few second and switch off wiper wait few second and switch off ignition, now it has come to the rest position so you have to install wiper arm at rest position. don't let it to move when you tight it hold it by hand, I think this information be help you if you think right way what i mean. is this information helped you?

Wiper Arm & Blade (Front) Removal & Installation Wiper Blade To Remove:

1. Turn ignition switch to ACCY position.
2. Turn wiper switch to PULSE position and turn ignition OFF when wipers are stopped in the innerwipe position.
3. Push the wiper blade clip button IN and remove wiper blade from wiper arm.

To Install:

1. Insert wiper arm hook through opening in wiper blade.
2. Place wiper blade pivot in the inside radius of wiper arm hook.
3. Pull on wiper blade pivot into hook until it locks into place.
4. Check wipers for proper operation.

Wiper Arm To Remove:
NOTE: Mark position of wiper blade on windshield to ensure proper position upon reassembly.

1. Remove washer hose.
2. Lift wiper arm from windshield and use a screwdriver to disengage retaining latch.
3. Remove wiper arm from shaft.

To Install:

1. Place wiper arm on shaft so that wiper arm aligns with marks placed on windshield.
2. Press arm assembly on shaft and push retaining latch IN.
3. Connect washer hose.
4. Remove windshield markings and check wipers for proper operation.

As the intermittent wipers are based on resistance, try the easiest fixes first:1. Disconnect the negative terminal on the battery. Pull the relays for the blower motor and both wiper relays and the 30 amp fuse for the wipers. These are located under the hood in the fuse/relay box. The best way is to be careful and use a set of pliers. The reason you pull the blower relay is so that it is easier to pull the intermittent relay. Clean these off the blades of the relay with a burnishing tool (in a pinch you can use your wife's nail polisher that is like very fine sandpaper. Once the are a pretty silver color, wipe them off with some rubbing alcohol. Put them in and pull them out about 5 times into the relay socket and leave them in. Clean the blades for the fuse with a cue tip and rubbing alcohol and then put the fuse in and pull it out about 5 times then leave it in. Hook up the negative terminal and take the key to the on position and turn the wiper to the lowest position. If it works if should take about 36 seconds between strokes. 2. The next easiest is taking the cover off the top of the steering column and pulling off the wiper switch and replacing it. There are three screws that hold the cover and two that hold the switch plus the electrical connector. You can buy a used one at a "junk yard" for about $20. 3. Replace the wiper motor (takes about a couple of hours start to finish). It involves removing the wipers, the cowl (plastic cover over the wiper motor right below the windshield), loosening and lifting the scissor arms for the wiper arms and removing the motor (this involves disconnecting the power connector and feeding it back to the motor).Hopefully your issue is like 95% of the wiper issues and it is just a little bit of corrosion on the wiper relays and fuse!

Look for the fuse for the rear wiper motor is a 15 amp mini-fuse , in location # 8 of your POWER DISTRIBUTION BOX in the engine compartment. Check in the PD BOX for; - relay # 8 is the rear wiper down relay , and - relay # 10 is the rear wiper up relay .

Sounds like the PARK SWITCH within the WIPER MOTOR is at fault, Only way to beat it is relay the motor. Hope this helps

Service and Repair

1. Turn ignition switch to the ACCY position, then set wiper switch to the "PULSE position.
2. Turn ignition switch off when wiper arms are at bottom and not moving.
3. Lift wiper blade assembly up from windshield.
4. Pull out retaining latch with a screwdriver.
5. Pull wiper arm assembly off transmission driveshaft.
6. Disconnect battery ground cable.
7. Disconnect hose from washer hose.
8. Remove five air inlet panel retainers.
9. Push washer hose into firewall.
10. Remove air inlet panel from vehicle.
11. Using wiper transmission separator tool No. J-39232, or equivalent, remove transmission drive link socket from wiper motor crank arm.
12. Pull two harness connector retainers out of wiper motor connector.
13. Disconnect two harness connectors from wiper motor.
14. Remove wiper motor attaching bolts and stud, then the wiper motor from the vehicle.
15. Reverse procedure to install.