I can't give a firm answer regarding this specific resto, but knowing a thing or two about BBQ, I would say you're probably safe with either brisket or pulled pork. Call and ask ahead of time.

Yes.

My significant other is the chef at this restaurant. It is accessible, including an accessible washroom. They do not have a button at the door but with assistance this restaurant is accessible. The staff are also really friendly and would be more than happy to ensure an accessible table is available.

Yes, just call ahead and reserve.

Rethink your options. As my review stated, you'll order as a table, not as individual plates. You're looking at $30/person.