Kelly, you will have more than enough time. Grab the airtrain to Howard beach then the A train to Manhatten. You can be down at the Statue by 11am easily. Allow 2 hours to visit the statue (pre book your tickets on-line) and then hop back on the subway to get yourself back out to JFK by 4pm. If your running tight for time at anytime grab a cab back out to JFK.
Kelly, you will have more