To also expand on gallaj0's thoughts, if you are flying out over a school vacation week, or holiday period, you might want to leave a bit more time.
The good thing, at least for now, is that JetBlue is still flying out of Terminal E (international terminal), and at 2pm, there will not be that many arrivals or departures, so security, etc should be pretty quick.
Good Luck, and have a good trip.