Level 6 is about AUD 120k plus overtime, public holidays, and superannuation. Use the levels based on your experience and if you can, negotiate higher to a level depending on your years of service (up to 10). Or agree to a start on level 6 during training and increase immediately after checking out. It's enough for a comfortable lifestyle in Sydney so long as the kids don't go to private school.
Don't expect any problems being a foreigner at work, and Sydney is pretty cosmopolitan (*except for non-whites in The Shire and Northern Beaches!).
Are you currently Tower controller or from TMA/area?