The "Back Up" lights will be inoperative with the wiring unplugged from the transmission. If you can live with out them you're probably ok. It's a safety issue at night though...
My guess is there is a short to ground somewhere between the transmission switch and the positive supply side of the circuit or just as likely a bad trans switch.
My guess is there is a short to ground somewhere between the transmission switch and the positive supply side of the circuit or just as likely a bad trans switch.