Yes. But only for small/individual pies.

I am fairly certain they have some Contes swag, shirts and such that can be purchased at the register.

If they are really busy they will tell you sorry, try later. They only take a certain number of take out orders per hour, if you make the cut you've got the best pizza in NJ coming to you. This is coming from a long time Princeton resident and Conti's fan!

Yes

Yes, but it closes 1 hour 30 minutes earlier. It is open from 11:30AM-9PM on Mondays instead of 11:30AM-10:30PM

Not that long. They take orders in advance only if you are waiting for a table.

No...

Nope. Just make sure that you can wait if they are busy.

No same place