Wellcome to Cairns
Your car will need to be ozzie certified which it should have been when it was imported, approval sticker somewhere in the engine bay then you will have to take it to a RWC approved workshop for the roadworthy then insurance, rego. Keep using your current rego as it is until it runs out as there are plenty of cars here with out of state rego and then get QLD rego, but if you ever get pulled over by the police tell them you are just visiting as you are supposed to change over your rego within 2 months of moving into the state same as your licence, that will give you some extra time incase you have to do any repairs to get it to pass.
As for a import friendly workshop maybe some others here are more informative as I have been out of touch for awhile but there are places here that are anti import (backwards types) and will tell you that you can't buy parts for them etc etc.
I am a new import owner but a lot of blokes up here are very friendly with good advice, will probably see you around sometime.
Gary