AirTrain to Jamaica Station; then, either Manhattan-bound "E" subway or Long Island Rail Road to Penn Station. (The LIRR will be faster; the subway will be cheaper.) Exit Penn Station (or the subway) on the 8th Avenue side, and walk west one block -- on either 31st or 33rd Street -- to 9th Avenue. If you're hungry and arrive in Manhattan before 9:00 PM, you can get an excellent slice of pizza at Pizza Suprema, on 8th Avenue between 30th and 31st streets.
AirTrain to Jamaica Station;