On a Sunday in Feb, arriving into JFK on Caribbean Airlines scheduled at 1:20 PM. Does it make sense for me to book a SEPARATE domestic ticket on AA dep JFK 3:40 PM? That will give me 2:20 to make the change. Haven't done border entry into JFK for a while so don't know how long it might take. It will be easy to have checked in online for the AA flight so will have BP and go straight to gate. I believe I arrive into T4 and the AA flight departs from T8.