I think NUS Business School has been ranked No.7 worldwide outside the USA in a ranking of business schools' research which is dominated by American universities. Its full-time MBA and Executive MBA programs were ranked among the Top 100 and Top 30, respectively, in the world by Financial Times. I hope there is no change to that.
As for whether you are able to get a good job after graduation, I am not sure as it really depends on the industry at the time you complete your MBA etc.
How much is AUS $ 75 per week convert to Sing Dollars? Maybe can help to advise if I know this info.
As a general rule, accommodation is dearer in Singapore - but you know yourself prices in Australia vary from state to state, and from suburb to suburb. If you click on the top banner and go to this sites main page, you'll find some good real-estate search engines that might help you guage yourself whether it's cheaper or dearer to what you're used to living. If you want, I can also recommend a good
property agent to you.
Food, it is cheaper - but again, this depends on your lifestyle. Some fruit isn't as cheap as what you pay back in Melbourne. Overall, I still think you'll still be saving in this area.
Transport:- Public transport is approximately the same. You'll find Singapore public transport a cheaper and more efficient system. Cars are not needed here as MRT is efficient and easy. Taxis are cheap as well, so transportation allowance is ok.
Food and Groceries are expensive in Singapore as it is flown in mostly from Australia. Alcohol as well, on average a beer will cost $10.00. A night out can cost 100-150 dollars, the thing is you don't do it all the time, so ok.
Since you have a low profile, the costs should be alright for you. Part-time job should not be too difficult to find, of course depending on what type of job. Average hourly rate I believe can range from 5-8/hr.
Hope the above info is useful for you.