Van Tilt Neutral Safety Switch Part Number?

[nightmare]

Hey everyone, I recently purchased a tilt column from Dave who said this was from an early 80s motorhome. I've taken it apart, cleaned it up, and repainted it. I was trying to get the neutral safety switch to work properly, but when I set it for neutral it starts fine, but the reverse lights don't work. When I set it for the reverse lights to work, it won't start in park or neutral. I stopped at the parts store to see about replacing the neutral safety switch, but I don't know if I would be getting the correct switch. One place couldn't find anything, and another place gave me the part number of BWD S9210. It appears to be the same switch, but I'm curious to know if it will do the same thing. Is there a different neutral safety switch for a 700R4? For the people who have replaced the neutral safety switch on a van tilt column, what is the part number that you got for the switch? Thanks