Is my plan a disaster? Moving to Brisbane from NZ

I have a flight booked for the 7th of Feb

Have about 12K AUD in savings and virtually no overheads. I have a friend who will put me up for about a week while I get myself sorted.

I am a high school physics teacher but pretty burnt out after this year. Hoping to get into relief teaching or part time teaching so I can slowly ease myself back in.

Only need a single room in a flat/share house. Ideally I would like to move somewhere with easy access to public transport, nearing a good boxing/kickboxing gym.

I'm only just starting to put together a plan but I think it's always wise to get input from others. Any potential pitfalls ahead or advice you would have like getting my medicare sorted.

And could we avoid the "no room. Rent impossible" comments. I live in Wellington, I get it.