I think you establish some rules regarding feedings. Some daycare providers provide breakfast, others do not. If she is leaving at 5:30, she should be getting dinner at home and then a bottle about an hour before bed. When my daughter was that age we would give her a bottle when she work up and then they would feed her cereal and fruit at daycare, about an hour later. She would not drink her bottle if we did breakfast at the same time.
I would suggest that she needs a bottle an hour or so before bed and then a bottle when she wakes up (not at 4am, but she may be waking up at 4 b/c she is hungry) and then you will feed her cereal/fruit at your house.
Developmently, I would let the Dr. handle this. My son did not move until he was 14 mos. He was fine. I was concerned and spoke to the Dr. about it...but he did eventually move and was walking at 16 mos, which is still considered normal. Crawling is not a developmental step.
If you are very concerned, I would suggest to him that some of the other kids that age are doing x, y and z, and maybe he could ask the Dr. what you could be doing during hte day to encourage her to take said actions.
You would like a very caring person, good luck.