Depends on which night you go, show times are on
their website. They'll usually update the schedule two weeks out or so.
Yes they serve beer, Touring Plans has
a list of the beer there. No IPAs, but Hogs Heade is a red ale. Also check out the attached Hogshead Pub, it's located in the back of Three Broomsticks or to the right of the main entrance. There they have more draft options.
Nope, doesn't run during HHN. Use the same site listed above for show times.
Sorta? I think it depends on the time of year. So far I haven't seen it run.
It usually weeds out, especially after a storm.
While the drinks are good do note that sometimes they have fruit or garnish pieces in it. For me that's annoying when drinking out of a straw. I honestly don't remember the menu to give suggestions.