Also you can check out the United Club over in Terminal 7 with an OZ F ticket. It's new and an all right place to watch UA and the south runway action. I think you'll also get into the Star Alliance First Class lounge right by the escalators. I'm never on a ticket that gets me in there but I see it when I come over from T-8 and come up the escalator in TBIT.

As noted above TBIT and the Star Lounge is really only good for a couple of hours. I'd be heading out to somewhere on the beaches or maybe over to the Old Town Olvera Street across from Union Station for some history and fairly good Mexican food(take the FlyAway Bus to avoid the traffic).