Yes, they are but at the reception there will be drinking and loud music that may not be suitable for young children.
So you can take an Uber from JFK or Leguardia to the Glen cove mansion; and You can rent a car locally or just Uber St. Patrick's Catholic chruch. There will be a party bus that will transport guests to and from the Mansion to Coindre hall.
Yes the ceremony will be at 2pm and the reception will start at 5pm. So you can head back to the hotel for little bit to freshen up and relax before the party starts.
No, It will be an open bar until 30 mins before the reception ends.