4) How do I transfer between terminals?

Walking:

Generally, if you are no further than 2 terminals away, it will be faster to walk.

It takes about 30 minutes to walk from T1-T7 following the U. You can also cut across the parking lots on the lower level, which will take about 10 minutes (though it was set up to do that, and you will be dealing with busy roadways)

Shuttle Bus: Board on the lower level (though sometimes they'll let you board as they're dropping off passengers on the upper departures level).
The LAX A Shuttle ("Airline Connections" - board at the BLUE signs) makes the loop to all terminals, going T1 to T7, then back to T1.

For those transferring to a downline terminal, you can also take any of the shuttles (B, C, G... even the Employee Shuttle if you don't have baggage)... just note that after T7, they will depart for their respective destinations.
Also, you can try and board any of the rental car shuttles, as they follow the same route as the LAX Shuttles, leaving the terminal area after T7.