Why leave Australia to work here?
The salary is relatively poor, even by local standards, unless you get to the top of the tree and fly international as a captain. There are thousands (literally) of Brazilians busting a gut to even get to the selection process, most of them with plenty of hours and some with type ratings. Unless you can bring something really special to the table you have very little chance, if you do have a couple of thousand hours on the 737NG/320 then you MIGHT get a look in, after you complete all the paperwork. How's your Portuguese BTW?
Sorry, Pierre is right, you would be better persuading your girlfriend to move to Australia.