AA 356 then DL 1514 at Miami
Montego Bay → Miami → New York JFK
Timetable, Miami time
16:34AA 356 from Montego Bay at the gate
15:37DL 1514 to New York JFK leaves the gate
23 h 03 apart on the timetable, overnight
DL 1514 leaves 23 h 03 after AA 356 arrives on the timetable: more than half a day, so not a connection we count.