Greetings, Ian -
From my point of view those are some excellent questions; my problem was the opposite: no reverse lights. We've ended up looking in some of the same places. My transmission is away for the summer, so the investigation is on hold here. One thing I can pass on to you is that though it may look like it, the reverse switch you see up there in the shadows does
not have a circular black plastic push-on connector attaching the wiring to the hex-sided metal switch body you see screwed into side of the tranny. Put another way,
do not put a long, wide-bladed screwdriver up there to pry the apparently push-on type connector away from the switch. Because it's not a push-on, not really a connector in the sense that it's attached permanently to the reverse switch, making up an assembly including the screw-in mechanical switch, the fitting attaching the wiring and the ~2 feet of wiring over and down to a connection with chassis wiring to the rear of the car. It can be pried off but you wouldn't like the results. And you probably don't need to ask me how I know. If I had waited until my transmission was out of the car - - it was run with 90wt. gear oil in it by PO(s?) and even though it was changed soon after I got it, finally packed up and spun a bearing, necessitating an overhaul - - I might have seen from the intact assembly how it all goes together. As it is, I can say that the switch threads in conventionally and there's no way to remove the wiring from it without destroying the 'connector'. It looks to be at least moderately inconvenient to remove/install on the car, what with that 2-foot pigtail of sheathed wiring (and with an actual, not fraudulent, connector on the end) to pull 'round and 'round in the limited area. It sounds like George has provided the kind of information you need once you have gained access. Just please don't use the approach I chose ... the pieces I gathered up were too small to make much sense of.
I probably should post this in the 'Dumbest Thing I've Done to My Pagoda' thread; where is that thread, anyway?
Wishing you a smoother passage,
Denny