Maid about 1k including govt levy
Car can be leased from 1800 to 2.5k a month.
Pre-school allowances...about 3-500 a month...know it's a newborn..but you'll be here for a couple of years...or so if u like it...might as well pre-empt it now...pre-chool here can start at 18 months..
utilities at 1.2k is way too much...lessen it by about half and u are still conservative.
Entertainment allowances...signing on bonuses, year-end bonuses, should be factored in your salary calculations.
Otherwise, you are quite covered already.
Don't worry about furniture...there are apartmensts that are fully furnished.
Try broadening your housing allowance abit more to give u more leeway....say 5-8k
Last of all...welcome to Singapore...and enjoy it all the way ok?