Might be time to talk to a accountant, don't go solely on strangers on the internet!
Correct, if you claim the km 60c rate, then NO other CAR EXPENSES, like Rego/insurance/main etc can be claimed.
Correct. but this method, you add up all expenses (rego, insurance, fuel, main etc), then work out your %of business use ie you did 50,000kms and of that 25,000kms was for Uber. Your business % is 50%. So you can then claim 50% of your expenses as a deduction. This is what you claim.
As I said, its ONE method OR the other method.
The up to 5000kms method is for people who don't travel much. The 60c/km deduction is to cover all costs of running the car. Its for people who do the odd work trip and can claim the kms. This method saves them keeping a log bog for the entire year, and then working out the business % and adding up all expenses etc and doing a deduction that way. They only need to keep a log book for the times they drive for work.
So basically, you can get $3000 tax deduction write off, via the 5000kms method, which may be better off for some people, even if you travelled 6-7000kms for the year, depending on your business usage % and the amount you spent etc.