Oh, mama! One of the most challenging times we have as parents in advocating for our children is immediately following birth. That should be a special time when we are bonding, recovering, and focusing our energy on the health and wellness of our LO.
Do you have a pediatrician you like/trust? My first was a non-emergent hospital transfer and we were a bit confused about how to advocate for our DC in the hospital (not saying you are confused...just sharing our story) and when the hospital were being jerks about potential GD (gestational diabetes), our pediatrician was the one to help step in and enforce our "request" that the hospital suspend testing, avoid vaccination and things like the eye goop and etc.(thinking back I think we may have opted for Vit K (4 hr. pushing stage) and PKU) It sounds like this hospital has some serious ethical issues going on and you may benefit from the weight of direct instructions from another doctor to get them to listen. I would also be concerned about your wishes regarding breastmilk being respected, for instance. No formula, no pacifier, whatever the current recs. are for premature babies. If you want I can research a good article for that.
And, just to vent along with you...they don't have the records and then go against your instructions? Because of an error on their part? Seriously? I would be super angry...if I also weren't just totally in a daze with love for a new baby. Congrats, btw!
Perhaps a family member could take up this cause for you while you get on to breastfeeding and all that goodness.
I think I am more of a traditionalist when it comes to infant supplements in that I really feel like babies should probably only ingest breastmilk. In your case, I would put the majority of my energy into pumping and establishing a BFing relationship (are you tandem nursing?). But, if you're considering giving somethign to your baby, or perhaps amending your own diet in the hopes that on some level that passes to your baby, perhaps post this question in the breasfeeding forum? Or, you could do some research on Kellymom (my favorite BFing site). For instance, I (personally) wouldn't consider giving an infant any kind of food (fermented, not even coconut oil) but perhaps would consider adding a bit of probiotics into a bottle (I imagine your LO is being bottle fed right now?) or on a spoon mixed with breastmilk. But only after researching.