Back up lights on forward and reverse

Hi,

Wanted to get my backup lights working so I can get the car inspected.

Followed the wiring diagram and I have to correct wires hooked up for the neutral safety switch and the other two wires going into the bulkhead connector.

The switch is on the transmission (A-904). The reverse lights are on when the car is in reverse, 3, 2, and 1.

I have a hurst shifter in the car and could hook the wires up to the switch on that, but I would prefer to keep the wiring in the correct location and not have to cut up the wiring harness and run wires in extra spots where they might get chaffed or wet or broken or who knows what might happen to them.

My thought is the switch. I got the transmission from Cope Racing Trans, and assume that it was a new switch since everything else was rebuilt.

Any thoughts, ideas or similar experiences?

Thanks,

Steve