Hey I just ran across something interesting. The second post in this thread says "Do they lift up their heads until they flip themselves over onto their backs? if so, they could be star-gazers. It's caused by a deficiency of a trace element in the food the parents were eating." Another poster says "Star gazing is caused by a Vitamin B1(Thiamin) deficiency."
https://www.backyardchickens.com/forum/viewtopic.php?id=488912&p=1
Check the label on Sav-A-Chick but I believe that is exactly what this is for. If you can't get that, get the liquid baby vitamin Poly-Vi-Sol (without the Iron in it).
So maybe look at the Star-Gazer angle.
In summary, definitely do the vitamins, one or the other mentioned above. If you're still thinking cocci, I guess pick up Sulmet just to have it on hand. In my recollection, little chicks don't have very solid poop though so I'm not sure it's necessary although I don't think it will hurt. The problem is right now to just get them eating and drinking.
TONIGHT how about adding a little sugar to some water and using it in a dropper? If you happen to have some cherry jello or some other flavoring similar, a pinch of that. But sugar should be enticing enough. Something tasty. And the sugar will give energy.
Oh here's something else you can do tonight, if you have any B complex vitamin, shave off a piece, grind it up and add that to the sugar water. It would be really good to get that B vitamin started tonight if you can.