same here
you can get to those spots using public transport.
nunawading rec centre is less that 1 minute walk from nunawading station which is on the lilydale/belgrave line
kilsyth is closer to croydon station which is on the ringwood line and about a 30 minute walk from there.
MSAC I think there is a tram line going down that street whixh MSAC is located
Hawthorn, Im don't exactly know if that is closer to Hawthorn or Glenferrie stations but It would be close to one of them.
There is a train line that finishes out at springvale, and a few kilometres down the round is a really good place called springers which suprisingly ayl doesnt know about. And as Iv said before they have the sydney 2000 olympic courts there. And because it is the main asian community in melbourne you should be able to find plenty of action around there.