I am no longer a permanent resident of the US.
I have moved back to my home country of Australia.
Do I have to complete any new tax forms to receive payment ? I filled in the correct paperwork when I was a US resident, but I imagine there are new forms specific to my new situation no?
You will need to update your location to where you are currently located. Regarding taxes, it would be best to consult with your local tax advisor so that they can guide you accordingly.