Flying into LAX on the QF 15 flight out of Brisbane next year. It's our first time into LAX and our connecting AA flight to Miami leaves from Terminal 4. From a map, it looks to be close. We arrive at 6:40 am and the AA flight departs at 9:15 am. Is this sufficient time to allow for Immigration and a walk to terminal 4. Is check in time for the AA flight to Miami 1 hour prior to departure? Will our luggage be automatically transferred to the AA flight? Incidentally, both flights were booked with Qantas.