AA 5878 then DL 624 at Charlotte
Salisbury → Charlotte → New York JFK
Timetable, Charlotte time
07:57AA 5878 from Salisbury at the gate
22:30DL 624 to New York JFK leaves the gate
14 h 33 apart on the timetable
DL 624 leaves 14 h 33 after AA 5878 arrives on the timetable: more than half a day, so not a connection we count.