Take the offer, what have you to lose really? Life is up and down, so it will test your resilience. You can go anyplace you want in Singapore within 30 minutes, the infrastructure is excellent, so the only worry you have, is can you afford to live here on what you have been offered, and the answer is a very simple yes and if on arrival you feel that you cannot afford to live here, you can make plans to move on.
Accommodation is expensive, if you rush into the trap, that most people do. It's understanding the shark infested waters, by reading the horror stories on Landlords, you need to be worried about. Take your time and you will find a reasonable place to live HDB being the cheapest, Within 25 minutes of your work place.
You need a full recce of any selected area, before you decide, so wait and look around, there are a couple of cheap hostels, and back packer places around the 35 to 45$ a night. Leave your stuff in the extra storage units and take your time to find a place to live if you think you will be financially stretched. You can find 2 bedroom HDB under 1800, but you also have to be careful of the schemers, people that offer these places to rent, they take a deposit and do a runner.
So the checking of apartment ownership is a must, with HDB, the same scam happens with condo
's too. This is a get rich quick Country at the expense of naive expatriates.
Agents you must be also cautious of. Other than that your income is doable