As the PP said, ME runs 24-hours a day, so you'll be able to use regardless of when your flight departs.
RAC (Resort Airline Check-In) on the other hand, does not open until 5:00 am. You have to drop your luggage off at least three hours before your flight. Given your departure time, I'm not sure if you'll be able use RAC or not. I'd ask someone at RAC when you arrive at the resort so you'll know if you have to handle your luggage or not when you leave.