reverse lights not working

Hello, I'm Danny.

It sounds like you might be having one or two different issues with the reverse lights. The neutral safety switch controls the reverse light circuit. Here is a tutorial showing how to test electrical wiring:

https://www.2carpros.com/articles/how-to-check-wiring

I've attached a picture below of the neutral safety switch location on the transmission and the wiring diagram below of the reverse light circuit for your car. As far as the wiring I would test to see if you have a good ground to start. Hope this helps and thanks for using 2CarPros.