Australia Backpacking Trip

My Australia backpacking trip plan is almost finalized. I will be arriving and spending a week in Brisbane first. Then I will head to Melbourne by passing Sydney and Canberra. I will be staying in Sydney and Canberra for couple of days before leaving for each destination. Brisbane to Sydney would take 15 hours; Sydney to Canberra would take 5 hours and finally Canberra to Melbourne would take 8 hours (all by train).