//I've never been to LA, tamborine, but regarding the renting a car situation I would consider the stress you might be under by having to learn, very quickly, to drive on the "wrong side" of the road...//
I don't think you should worry too much about driving on the ' wrong side of the road ' or even driving a left hand drive vehicle
My first holiday to the states had we slightly concerned about it , but within a few hours in the car , it was fine - no problems
You may or may not know the following -
''Right turns on red are permitted in many regions of North America. ... All 50 states, the District of Columbia, Guam, and Puerto Rico have allowed right turns on red since 1980, except where prohibited by a sign or where right turns are controlled by dedicated traffic lights''