Can you put a patch on a tire? I ran over a nail, the tire is good it just needs a patch, also if so do I have to make an appointment and how much would it be?

I think it depends bon which Les you go to, the one on Kings canyon fixes flats for free even if you didn't buy your tires there. I called the Les on Blackstone and was informed that they will charge if the tire wasn't purchased from them.

They fix flats for free

Yes they patch tire for cheap

Yes -around 20 that's with spin balance