Yes. It's a bit tough getting up the stairs with a stroller but once you are there, they are very accommodating with kids.

Closest stop is Carroll Street on the F / G line, but it is around a 15 minutes walk from there. The bus B61 stops infront.

No, you don't need to make reservations although it does get fairly busy in the evenings. Teens can eat here!

Yes, it is recommended

Yes