If you were not able to go, you legally were absent without leave
So, legally, the command could counsel you, give you non-judicial punishment or even charge you (highly unlikely in the reserves
) for a violation of Article 86 of the UCMJ.
Additionally, even though the airport police did not charge you, the military can counsel you, NJP
you or even charge you (again, unlikely) for any facts that they become aware of which suggest a crime. Here, your statement to command could be used against you and it suggests the offense of drunk and disorderly, whether accurate or not.
Now, knowing exactly what will happen is difficult because commanders are given discretion in how they proceed. They have to be given that discretion, by law. So, nothing dictates what action your commander will or will not take.
That being said, the most common action in this sort of situation would be at least a counseling and a Letter of Reprimand, with a reasonable possibility of the command choosing to issue non-judicial punishment.