Do any punk bands play here? If so, how often and when’s the next punk band to play here?

They have a variety of bands. Their schedule is pisted on the website

Yes. They have punk bands play at least once a month and they'll have at least 2-3 in one night, most of the time. Their Facebook page lists all upcoming shows so sign up for notifications if you can; it's super convenient. Not sure when the next punk show will be, but go see Fixed Faces if you ever see them featured in an upcoming show.

Um Yes. Just show up. To borrow a line from Evil Knievel "do you know who the hell I am?"

I would say most of the bands that play there are punk