I'll try my best.
In terms of public transport it depends on where you live. Melbourne sprawls a ridiculous amount, but within the inner - middle suburbs the trams/light rail effectively work like a subway (except they get stuck in traffic
). Trains run pretty extensively, but its a fairly unreliable system for global standards. Most stations have a connecting bus. Melbourne doesn't have any tourist tickets for public transport, but you can get monthly and yearly tickets. It might be worthwhile getting a myki, the tickets are supposed to be cheaper. Its easy to get on trams for free...though ofcourse I don't advocate this
All info is here: http://www.metlinkmelbourne.com.au/
I don't know much of an issue money is, but I would stay a hostel/backpackers for the first week before looking for a place to stay. Obviously its always good to explore the area your looking to stay at, they usually have a one week maximum though, and we start getting a fair few tourists at this time of year. Footscray would be a cheap area considering its proximity to the city, but its an aquired taste. Run down, sort of bohemian area with a large african/asian community. I personally love it, but I know a lot of people think its dodgy.
For nightlife, look towards South Yarra, Pharan, Carlton, Brunswick, Richmond (lots of heroione though
), St.Kilda, Fitzroy, Collingwood etc. All within the outskirts of the CBD. A lot more exspensive, but if you have the money...definetely places to stay at. Try getting a backpackers around here for your first week.
Here is a good site for travellers looking for jobs in Australia. I think
applications for jobs at the Aussie Open has ended. Personally I think jobs at the Aussie Open are shit, you don't get to watch much tennis and you stand around in the heat all day/deal with people who have been in the heat all day. 5 day ground passes are only about $100 and well worth the money. Access to all courts except Rod Laver and Hisence Arena. I believe you can upgrade later in the day if there is someone you want to watch, though you will be stuck at the top level, which still has a pretty good view. Transport to the tennis centre is as easy as it gets, its in Richmond and has a connecting train and tram line.
Tram system - try and look for a place within these areas if you don't want to rely on a car.
Train system - you pretty much have to stay within zone 1 (yellow) if you don't want to rely on a car.