Here is a good resource on womens hair loss:
Hair Loss in Women: Causes of Female Diffuse Balding | Bernstein Medical
1,200 grafts looks a bit on the low side. I think you may need over 2000.
I've not heard of any female having an FUE procedure which would be pretty pointless in my opinion. Also, are you really prepared to shave most of your hair off?
If you need somewhere close to Australia I'd suggest Dr Pathomvanich as a good starting point.