Take AirTrain on 3rd floor of T4 to Jamaica Station, transfer to the E subway to Roosevelt Ave/Jackson Hgts, transfer to the inbound #7 subway to 33rd St/Rawson St. Walk 1/2 block to Queens Blvd and turn right, go about five blocks to the hotel. You can also take a taxi direct to hotel from JFK, fare is about $35.
Take AirTrain on 3rd floor