Yes you can if it is a quiet one. Quiet hrs are 10 pm to 8 am. We ran ours which is a Honda 1000 about 2 hrs every other day.

I have solar so I didn't use mine when I was there but having taken a careful look I don't believe they are prohibited. There are likely just the usual quiet hours. You might call the local number listed to verify what this year's rule is.

I don't know but this is one of my favorite campgrounds in the country. Right on beautiful Lake superior. If you can get one of the 3 campsites right on the lake they are truly amazing