Don't remember any signs prohibiting fires. Rule of thumb is to use a previous fire ring and make sure dry vegetation is cleared in a 30' circle or more. Can get pretty windy, so watch your fire! Great location - lots of dispersed campsites. Watch out for narrow scratch-inflicting passages between trees. Also some sites have broken glass. Cholla cactus, too.

I don't remember what the rules may have been, but I did have a small campfire.

Generally yes unless there are regional fire restrictions in place.