I doubt there is storage for early luggage like the old days. I flew out yesterday on the 4:48ish to JFK. Little panicky because of the French plane leaving. Arrived at 2:30 with boarding passes in hand and no checked bags. It took a solid 30 minutes to clear security. Total chaos down below so we waited up top until flight called. Just remember if you check in and print your own tickets you will need to have your docs checked at the gate.