I say no.
I don't have time to make a long post right now, but I really hope you can make the most stress-free choice for yourself (you deserve it) and that seems like a "no".
Usually I'd put a yes, but reading your post and knowing a tiny bit about your background tells me that it's just not worth the trouble.
You don't know that your parents will be mature about it or if it'll stir up more drama. You have enough on your plate. It's not an obligation to "do the right thing", right things are reserved for right reasons only and you'd know if it was something that was true and right for you. And doesn't sound like it is.
Either way though - good luck! And welcome to Australia :)
it's lonely being narcissistic