2010 Chevy equinox stabiltrak, and ABS light on

Most likely has to do with either needing new brakes, or an ABS harness. If the ABS is not working properly the brake pedal will "kick back" at you, similar to what happens when you slam on the brakes in the snow. The harness runs from the back of the wheel bearing. If you can pull of the front wheels and look behind the brakes. You should see wires running out from the back towards the front of the car leading up to the motor. Check these wires from breaks. GM has a poor design for these harnesses and they rub on the lower control arm. Not terribly expensive to fix on your own, simply clip the wires and use butt connectors to attach the new harness, plenty of YouTube vids to help, also check your brakes while your at it.