I think the side trip to Uluru will make your whole trip feel a lot more rushed. I concur with other posters that it might be better to give yourself a week each in Sydney, Melbourne and Tassie, and leave Uluru for next time! I did three- or four-day segments to different places on my first trip to Oz, and found that it just ratcheted up my dread of the next run to the airport. Every day felt rushed. My better Oz vacations have been those when I've had a week to really enjoy a place before moving on...