With my new York pass I can enter Ai

Yes, you have a special row for your ticket, you do not need a reservation

Yes, reserve.

You have to see the list of museums where that card can be used, I don't remember if this museum is among those that can be entered with this card.

Yes... my best recommendation is to buy the new york pass, because everything is expensive there, and with that card you can enter all the attractions

Yes, but as you must book you will have to do it from their website

I think so! Better ask input!

And

Yes, it is included there