BB 727 Trans help please

would that be similar to a TV cable or kickdown? .

Basically the same thing, and it must be connected of you have a stock valvebody.
On your 727 the reverse lights and neutral safety switch are both operated by that one switch.
For some reason I can't find the pinout of the switch right now, but I'm sure someone remembers without having to look it up.

It seems like I remember the two outer pins are for backup lights and the center pin is for neutral safety.