No Reverse Lights

My 1994 Dodge Caravan's reverse lights stopped working. I've tried replacing the bulbs and then the relay, but still the lights don't turn on when the vehicle is in reverse. Anyone with advice to share, please?

Check your neutral safety switch (assuming - auto trans) on the transmission. It senses gear selections.

Thank you, you're a gentleman. I'll check the neutral safety switch. If that switch is indeed faulty, would it be causing other problems I could check for, as well?

The switch controls starting the car in park or neutral as well as activating the backup lights.

Then I guess the switch is broken for the backup lights without being broken for starting the car. Thanks again. You've been very helpful.