I have a 2000 Discovery and the brake lights come at random times. It is parked after atrip back from Tx with no problems. Turning lites require pushing brake pedal. It seem to be ok for days and then...
For the brake lights, the switch on the brake pedal sounds like it needs to be adjusted. When foot is off the pedal the switch button is probably not completely closing to randomly turn the brake lights on and off.