Couple of things:
1) You can do it by train, but get a car.. bankstown is a good bit out of the city.
2) Ask them if you can do harbour orbits and victor 1 (the coastal scenic route). Unlike the UK, it's quite possible to fly over the harbour, right next to the airport at 1500ft, then track down the coast - it's a fantastic trip (have done it). And I'm not bagging the uk, I'm only itenerant here.