I am coming back to lax on July 11 at 12:14am do you pick up at that time

Yes, you're in luck, altho you may end up waiting a bit longer for that welcome bus during the wee hours of the night. ;)

Yes, Flyaway runs 24 hrs a day. Although the frequency between 12 midnight and 4 am is once an hour.

Yes, 24 hours. Every 30 minutes at that time.

Yes the service is 24 hours.

I believe they run 24 hours