My 20 year old daughter and I have 10 days to see sites in Aust. I know it's a huge country/continent. We will fly out of Sydney and we're thinking of uluru, 2 nights, then Cairns, 2 or 3 nights, then Brisbane maybe, ending up in Sydney again, where we'll have an additional 4 nights. Can we drive part of this? Should we? Is there somewhere else we should go? We have to start and end in Sydney.