Moonlight I'd add in some basic first aid type things, child thermometer, calpol, teething gel etc. I forget what you can use when but good to have a couple of things ready
For hospital I'd suggest packing clothes (knickers and nighties at least) for 3 days, you don't know how long you'll be there so a couple of extra outfits might be good
For baby some black and white books could be good?