commit a crime ¬_¬
errm, actually quite hard. a family i know moved over there, they are friends of my parents, i think they lived there for like ,i can't remember, a couple years, 5 years? they had a house bought and paid for, they were a part of the community, i'm not sure if they worked or were retired out there, i think the later. but their son frequently visited them but i think worked abroad. anyway, at some point they were essentially just thrown out of the country because they weren't allowed to stay anymore. which seems somewhat ridiculous considering they had pumped money into the economy through spending their money, buying the house.paying taxes and had been their so long.
maybe it was there son who made jokes about the guys in the airport being criminals when he got there, apparently they aren't fond of the jokes, and they hear them all the time.
Having family over there could only help you i would assume. i think year, check out the aussie government webpages regarding immigration. sure there will be advice/guide sites findable on google too.