Auto trans stumper

Update: since the neutral safety switch is all of ten dollars, and an easy swap, I figured I would stab one in.

Went to plug the plug back on, key off, and the starter bangs! Only briefly, but it hit two or three times when I lined up the plug and started to push it on. I've left it un plugged for the time being.
Also: no reverse lights.

So, shorted wiring in the nss circuit?