my ASP/ESP Light comes on after driving for a few miles. not sure what means.

no it won't ASR stands for Anti-Slip Regulation. It is a early traction system that only prevented the wheels from slipping under acceleration. ESP is a newer traction system that incorporates ASR, BAS, ABS, ETS under 1 control module. ESP prevents the vehicle from going out of control on corners by braking individual tires and cutting the signal from the accelerator pedal. It uses a steering angle sensor, YAW rate sensor, acceleration sensor, and all 4 wheel speed sensors to determine which wheel to brake.