My 2001 Chevy Suburban has the abs and parking break light on. I had the EBCM module repaired. the lights were still coming on, then I checked the ground wire, it had a good tight connection. Is there

Hand brake light as you call it , will come on when other thing's are wrong in the brake system ,not just when the emergency brake is applied . Low fluid in the master cylinder will turn it on, the ABS control module can have it turned on when their is a ABS problem . etc..... With the ABS , check engine light ,emergency brake light on , code's are stored in the EBCM - electronic brake control module . The speedometer info. come's to the instrument cluster from the EBCM . Probably have a bad wheel speed sensor . Your best bet , take it to a qualified repair shop.

ABS code not check engine light code .
DTC C0201 00: Antilock Brake System (ABS) Enable Relay Contact Circuit
The solenoid relay, located within the electronic brake control module (EBCM), supplies battery voltage to all of the valve solenoids.
Circuit/System Verification
With scan tool installed, clear the DTCs then drive the vehicle in a straight line at a speed greater than 20 km/h (13 mph). If the DTC did not set as a current DTC see diagnostic aids.
Circuit/System Testing
Test for an open or a short to ground in the battery positive voltage circuit to the EBCM. Verify no open or a short to ground is found.
Test the EBCM ground circuit, an open or high resistance.
? If an open or a short to ground is found, repair the circuit.
Replace the EBCM assembly.

DTC C0201 (Equal to or over 8600 GVW)
The system relay, located within the electronic brake control module (EBCM), supplies battery voltage to all of the valve solenoids and to the Antilock Brake System (ABS) pump motor. When the relay contacts close, the EBCM monitors the voltage supplied to the valve solenoids and compares this voltage to monitored ignition voltage.
Action Taken When the DTC Sets
• The EBCM disables the ABS/DRP.
• The ABS indicator turns ON.
• The brake warning indicator turns ON

First you need to have EBCM - electronic brake control module check for DTC'S - diagnostic trouble code's . If the light is on there is a code stored . I think most part stores can do this and for free . After you find out what code is stored , looking up that code in service repair information for diagnostic trouble shooting chart would be next step . There are a few codes too.
DTC C0035 or C0040
DTC C0045 or C0050
DTC C0110
DTC C0131
DTC C0161
DTC C0186
DTC C0196
DTC C0201
DTC C0240
DTC C0241 or P0856
DTC C0244 or P1689
DTC C0245
DTC C0283
DTC C0287
DTC C0290 or C0292
DTC C0455
DTC C0550
DTC C0558

Find the code do the diagnostic's , fix the problem , wiring issue's , a sensor , bad module ,what ever it is . The light will go out then . Here is a sample of code discription .
• DTC C0035 Left Front Wheel Speed Sensor Circuit
• DTC C0040 Right Front Wheel Speed Sensor Circuit

Because you have a problem in the ABS system . With the light being on there is a DTC -diagnostic trouble code stored in the ABS control module . EBCM - electronic brake control module . The red brake light also will come on with ABS problem . If you are unfamiliar with this I suggest you take your vehicle to a ASE certified repair facility that is .

Your ebcm internal relay is likely failed, possibly has a c0265 code in ebcm. Pull the abs maxi-fuse underhood fuseblock, abs and red brake light will come on, but noise should stop. There are several module rebuilders online (module masters comes to mind)

They only come on sometimes ?
Brake Warning Indicator
The instrument panel cluster (IPC) illuminates the brake warning indicator when the following occurs:
?€¢
The body control module (BCM) detects that the park brake is engaged. The IPC receives a class 2 message from the BCM requesting illumination.

?€¢
The EBCM detects a low brake fluid condition and sends a class 2 message to the IPC.

?€¢
The IPC performs the bulb check.

?€¢
An ABS-disabling malfunction also disables dynamic rear proportioning (DRP).

ABS Indicator
The IPC illuminates the ABS indicator when the following occurs:
?€¢
The electronic brake control module (EBCM) detects an ABS-disabling malfunction. The IPC receives a class 2 message from the EBCM requesting illumination.

?€¢
The IPC performs the bulb check.

?€¢
The IPC detects a loss of class 2 communications with the EBCM.

sounds like you have an intermittent problem for now ! a wiring issue or wheel speed sensor going bad. Need to check for codes in abs module , that will give you an Idea where to look first. These systems can set a lot of codes, component codes , wiring codes etc... need to know what code first.

there are 2 fuses only for the abs on the trk. 60 amp #2 maxi fuse and fuse #3 10 amp fuse for the ebcm. there isnt any relays for the abs.

Hello,
There is a ground wire connected to the engine block. Look for it on the back passenger side of the engine towards the top. Remove it and clean the connection and the wire connector and replace. Sometimes they get real bad and throw the ABS light on. Sometimes a brake light out can throw the ABS light on.

• You said you rebuilt the ABS module, do you have a short in it you are missing? The bulletin for this originally suggested to replace the module and was corrected because the ground itself was the major offender.
• Try to reground the EBCM. The code 0265 says "loss of communication with the brake module" The EBCM Ground is located on the frame beneath the driver's side door. If multiple grounds are found in this location, the EBCM ground can be identified as the heavy (12-gauge) wire. Clean the area, front and back, using a Whiz Wheel.

• Install the ground, then the washer and then the bolt to the frame. Important: It is important to use the bolts, washers and nuts specified in this bulletin. These parts have been identified due to their conductive finish.
• Install a washer and nut to the back side of the frame.
• Tighten the nut to 9 N·m (79 lb in).

• Cover the front and back side of the repair area using Rubberized Undercoating. An additional check can be made to ensure a good connection for the Battery Cable to Frame ground.

Regards, Tony

Have the ABS codes scanned. Could be wheel speed sensors, however when the parking brake light comes on this is an indication that the EBCM (Electronic Brake Control Module) has a problem.
The most common 1216 error was repaired on mine by sending it in to a company online for $150.00. took about a week.

what you have is a ABS module that has shorted out internally. you have to replace that module and then bleed the ABS pump AND the brakes at all wheels.