Yes, you may. There is no camp host or anything like that. As someone who doesn't use a generator, I hope you'll limit its use if anyone else is camping there. It's a very quiet, remote area.

Yes, we have. Not sure of official rules, but we assume common courtesy guidelines and don’t run it after 10pm-6am.

No rule prohibits it, but please be courteous of other campers who may be present and limit the use to reasonable waking hours.