1972 280SE 3.5

I drove my car this weekend and noticed my reverse lights didn’t turn on. I had someone check the reverse lights as I went through the gears and they didn’t turn on at all. I’ve read if the Neutral Safety Switch is bad, the car wouldn’t start in Neutral either. I tried to start it in Neutral and it doesn’t crank but starts fine in Park. Is it safe to say the switch is bad? I do have an extra one I bought a while back when I realized they were discontinued.

I’ve owned the car 10yrs now and this is the first time I’ve had this issue. Is it as easy as getting under the car and swapping it out? Any help is appreciated.