I was allowed to rent a car with my Temporary 2 Years TH Driving License with Hertz Newark Airport and Chicago Airport. Only need DL and Credit Card. If you don't have a credit card, they might run a credit check on you.
Not Aus Embassy in Bangkok. Most likely to be provide the biometric fingerprint in Trendy Plaza. Cost 1,xxx ++ THB. It is easier to submit yourselves as you need to provide the supporting documents to agent anyway. Cost A$160.
Register an immi account-fill the Subclass 600 form-upload all required documents-wait for next instruction(Fingerprint and Health Assessment)-Grant Notification/Refusal