One problem related to brake light on has been reported for the 2000 Chevrolet K1500. The most recently reported issues are listed below.
Failure of anti-lock brake system. Defective module kept feeding power to the motor of the abs and then the motor fried. My abs light (yellow) came on followed by the brake service light (red). A diagnostic scan revealed the abs module and motor both were defective. I had both the module and the motor replaced. The parts totaled around $1500.