Hello! Welcome to Australia. Firstly sorry you're feeling a bit crap, it is hard being in a new place with no support at all.
If you want to meet new mums, can I suggest going along to your local Early Childhood Centre as they may have group details. ALso, try Playgroup Australia - we set up our own "playgroup" which was a follow on from our mum's group, basically when the babies got too wriggly for sitting in a cafe we now let them roam in a church hall garden while we sit around and chat and eat cake and occasinally intervene as a child attempts to dive head first off the top of the sandpit (me).
As for feeding, they are very keen over here for you to ditch the purees and get onto "normal" food. Out of the mum's I know (who have babies aged about 7 months to 1 year) I would say only 2 or 3 are on totally "normal" food (my DS is one of these but only because he point blank refused to be spoon fed any more. But nearly all the other babies have a mixture of finger and spoon fed mashed food.
If you would like a suggestion, I would start giving mashed stuff like carrot, pumpkin, and then also give some finger food of bits of chicken, potato wedges, oven dried bread with avocado etc. But don't feel bad, she's still really young and you have plenty of time.
Also, don't worry tooo much about "choking" over "gagging" -choking is rare and you can tell they are choking if they look at you in panic, can't breathe and have staring eyes. If they are gagging and coughing they aren't choking, they are just naturally dealing with a bit of food that they're not ready to swallow. I can highly recommend learning how to deal with proper choking as it makes you so much more calm about leaving them to gag up bits of food. DS did this all the time at first and my DH would look at me in horror as I calmly sat there drinking tea as DS gagged and spluttered in front of him.
Also, the nurses are a bit more forthright over here, but if you can find one you like it does help. We found a lovely one who comes once a week to a chemist and has helpful suggestions for things - ours at the Early Childhood place were a bit too, i dunno, kind of "hard" and wanted to push the babies on quickly.
They LOVE tummy time over here too.
Anyhoo, just wanted to post because I know what it's like. I moved from Adelaide to Sydney when DS was 5 weeks old and I thought I would never meet people and yet now I have a big group of lovely like minded people who I see all the time and are just fab.
Good luck!