No it does not close at 5. It's open 24/7 but inbound and outgoing flights slow down at night. The first commercial flights depart at around 6am and there are several flights departing late at night, sometimes, depending on scheduling, as late as 1am -2am. Check with your airline for flight schedules.
No
Herm Reyes gave a great answer. What is it you need? Also, many of the vendors close at some point in the evening, because the foot traffic is so minimal.
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