I'll be arriving on JetBlue (Terminal 5) at 21:58 and my next flight is on EVA Air (Terminal 1) at 00:20. All flights were booked under one reservation. I'll have one checked-in luggage. Do I need to pick up and re-check in the luggage? Do I need to go through the security check again? How to go from Terminal 5 to Terminal 1? Do I have enough time (2 hr 22 min)? Thank you.