Thanks ChatKat.
Yes we both have two checked bags and each a carry on.
Delta arrives somewhere around 4:35 pm and AZN is around 7:45 pm departure if we decide to do this arrangement.
Does the LAX airport shuttle charge to go around and around from one terminal to the next?
As I said before we have always gotten a hotel shuttle before since we overnighted.

I answered my own question.

LAX Shuttle & Airline Connections
NO CHARGE. Approximately every 12 to 15 minutes
"A" shuttle
Under Blue Sign
Lower / Arrival Level Islands
in front of each terminal.