I would say about Singapore's healthcare and other facilities, that you can Google it and get the details. In short, it is one of the best in Asia (100 times better than Pakistan and Kurdistan, Iraq).
Secondly, if you have received DP that means your husband earns more than $5k so, should not have an issue for your future child to obtain a DP.Â
There won't be any problem to deliver a baby here except you will spend at least 20 times higher than what you could pay in Pakistan or Iraq (for any complication case of delivery, it may fetch you at least $12,000 or even more - 40 times more than if you will do in your home country or living country). And, the best and affordable hospital for you, could be K K Women's Hospital.
So, discuss with your husband and kith & kins before you decide to deliver a baby here. And, yes ask your husband to check if company can provide you any insurance to cover part of the hospital bills as many companies (I know few big banks or TOP financial institutions including company where I'm working now added delivery is part of employee's partially claim (e.g. a maximum claim limit would be $5k or so which is taxable).