NJ Transit Train - $2 subway, $11.50 train + airtrain. 1 downtown to Penn Station. Take NJ transit train to Newark Airport. Transfer to airtrain shuttle to airport.
Olympia Airport Express- The total cost is $14 -- $2 for the subway and $12 for the bus. Take the 1 train or C train from 103 Street Station to 42nd Street Port Authority. Olympia Airport Express bus to Newark Liberty International Airport. Give yourself 1 ½ hours.
PATH- $2 subway, $1.50 PATH, $5 airtrain. Take B subway from 103 Street Station to Herald Sq/34th. Connect to PATH train at 33rd/6th Ave. Take to Journal Square, then connect with the Newark bound PATH train. At the Newark Station, take Airport AirTrain to the airport. Give yourself 2 hours.
Shuttle - $22. Book a day in advance through the hostel.