Hi Kelly,
I gave birth to my babies in NUH, and was a last minute transfer from private too, but i was lucky to get it done before i gave birth, so was considered a subsidized patient. As far as i know, there were cases whereby they transferred their babies to government hospital from private after they were borned, and managed to get subsidy eventually (you got to write in to MOH to fight your case, get help from social worker, etc). Maybe you could consider NUH, the NICU is pretty okay and not so crowded as KKH.
My bill was 200k SGD before subsidy, and about 50k after subsidy (my elder boy stayed 35 days while my younger boy stayed 139 days). Cant imagine paying 200k......anyway, my 50k was discounted too as I wrote in to MOH to appeal for a lower bill....
As for Pre-E, I heard it could be rather random. As the gynae mentioned, you really shouldnt stress yourself that much, because your body is also under stress. Take it slowly (but still you got to express regularly), the breastmilk will come. Only if you take good care of yourself first, then you can have good health to care for your baby.
Dont worry about the baby's weight so much, give it some time! Come to the forum often, we will try to offer as much support as we can.
All the best, take care.