"Does Nevada law require casinos to comply with a request that someone be "evicted or arrested" if he shows up?'

Probably not.
But, Nv is very paranoid over the problem gaming issue at this time.
We have self limiting brochures in every department. We have a self limiting officer that is required to keep the holders full of brochures. Every employee, yes every employee, is required to sit through a 1 hour class on how to reconize problem gaming. If a customer requests exclusion from mailing list, it better get done. If the biggest gambler in the joint says " Don't give me credit" it better not happen. If he says don't let me use my credit cards, you better make sure he doesn't use them, etc. etc. etc.

Guess what, we have a chip for problem gaming. Go figure!!!!!