JFK Airport Shuttles

If you want to be on the safe side taxi is the best option. It will run on the meter(~$90).
JFK_E

Recently T5 has been open(at least arrivals floor) the whole night since Jet Blue has a lot of late flights.
T4 is 24/7 open for sure.
JFK_E

Take Airtrain from any terminal on track 1 to Jamaica Station( be careful - on that track there are two alternating trains going to different routes; check the sign above the doors as the train arrives; the red colored sign is Jamaica one). Then take subway line E to 42nd street stop. Cost-$7.25/passenger.
At Port Authority Bus terminal take NJ Transit bus route 163 to Paramus,NJ. See the schedule
http://www.njtransit.com/pdf/bus/T1162.PDF
JFK_E

Taxi is one of the options - it will be on the meter(exp.~$60-$70).
Public Transportation is another one:
Take Airtrain from any terminal on track 1 to Jamaica Station( be careful - on that track there are two alternating trains going two different routes; check the sign above the doors as the train arrives; the red colored sign is Jamaica one). Then either:
-take subway line E to Penn Station(total fare - $7.25;~1 hour) or
-take LIRR train to Penn Station(faster;total fare ~ $12, less on the weekends; 35-45 min.)
From Penn Station take PATH train to Pavonia-Newport stop.The hotel is block and half south on Washington Blvd(right after you pass 6th street).
JFK_E

East or West?Exact address would be helpful. Or a cross street.
JFK_E

Take Airtrain from any terminal on track 1 to Jamaica Station( be careful - on that track there are two alternating trains going two different routes; check the sign above the doors as the train arrives; the red colored sign is Jamaica one). Then either:
-take subway line E to Penn Station(total fare - $7.25;~1 hour) or
-take LIRR train to Penn Station(faster;total fare ~ $12, less on the weekends; 35-45 min.)
JFK_E

Take Airtrain from any terminal on track 1 to Jamaica Station( be careful - on that track there are two alternating trains going two different routes; check the sign above the doors as the train arrives; the red colored sign is Jamaica one). Then either:
-take subway line E to Penn Station(~1 hour) or
-take LIRR train to Penn Station(faster;35-45 min.)
Then take NJ transit train to Rutherford,NJ(with transfer at Secaucus Junction,NJ)
The cost: $5.25 for NJ transit train + $8 for LIRR(or $2.25 for subway) + $5 for Airtrain.
JFK_E