AA 4396 then DL 5103 at JFK
Washington National → New York → Raleigh-Durham
Timetable, New York time
07:27AA 4396 from Washington National at the gate
19:30DL 5103 to Raleigh-Durham leaves the gate
12 h 03 apart on the timetable
DL 5103 leaves 12 h 03 after AA 4396 arrives on the timetable: more than half a day, so not a connection we count.