Is there a shuttle from the airport? How about shuttle to cruise terminal?

Yes there is a shuttle running between 6 AM to 8 PM. Reservations recommended. Call hotel to be picked up at the Red 2 areas designated for shuttles

Yes

The shuttle does NOT run until 8pm. It stops at 4pm. We weren't told this until we arrived at the airport at 5pm and were told it stops at 4pm. The hotel is a joke anyway. Book a room somewhere else if you have a choise. We stayed there last night.

We just did Uber to the port

There is a shuttle but it needs to be arranged ahead of time and stops at 8pm