Chip
you have a good plan already, so well done.
Enjoy Sydney, the harbour and the blue mountains. When you go to the blue mountains, take a jumper and a rain jacket - it will be at least 10 degrees farenheit cooler than Sydney.
Enjoy the golf in Melbourne, whether it be on the sandbelt, the mornington peninsula or the bellarine peninsula. RM West, East and Kingston Heath are all special, but particularly RMW - it is a true cathedral of golf.
Enjoy Barnbougle and the two courses. The suggestion to fly straight to the course from Moorabin is a good one, especially if you are time challenged. If you are not, take the 'long road' (the most southern of the three routes) from Launceston to Bridport, and then return on the most nothern route. If you get to Hobart, see the MONA.
When you return next time and want to see some more countryside, spend a few days to drive the coast from Melbourne to Adelaide. However, you need a lot of time to do this.
cheers
James B (Adelaide)