As we specialise in up market travel this is a basic program for a short visit. Using this as a template for a trip you could then add in more (or less) to suit your own plans. Flying from the U.S. on day 1 you arrive early in the morning on day 3, too early in fact to get a guaranteed check in at the hotel so unless you want to pay for the previous night or “hang around” in Sydney hoping for an early check-in I would suggest you take a connecting flight to Melbourne arriving at lunch time and in time for a check-in. (You “loose” a day when you pass the International Dateline).