Bypass the food court.
The sit-down restaurants are great. At that time in the morning, you are seated in a court, food served at your table, one menu for all restaurants, table cloth, service, the works.
For peace and quiet, go down the concourse for gate 1-7, turn right, far end. There is a good coffee/pastry place. They can also make an egg sandwich and have tables. DH and I like this. Did I say quiet?
At the far end of the center concourse (with views of take-offs/landings) there is a place that serves a breakfast menu similar to the sit-down restaurants. Never tried it, but the menu looked good.
Congrats on the inaugural 2-year-old flight.
My ideas. Not JetBlue's.