There's a good chance he probably has worms and that is contributing to the diarrhea as well as the half & half. Kittens can dehydrate very easily which can even kill them. You can give Pedialyte with an oral syringe.
But if they get too dehydrated they need to get fluids given with a needle. He needs to see a vet anyway. , so please get him to one tomorrow.
Bring a sample of the stool so they can check it for parasites and he can start getting treated. The vet may give some wormer like Drontal plus some metronidazole -- an antibiotic but also anti parasite. His anus is very irritated from the diarrhea and must be painful.
The vet can also give you some ointment to put on his little butt to help it heal. Then you just have to stop him from licking it off while it sorta soaks in. If he keeps licking his bottom and making it more inflamed, you will have to put a cone on him for a while to stop him from doing that.
He will hate it at first but they usually get used to it especially if a soft one will work. Some probiotics may also be helpful.. Vets have some powder called Fortiflora that you just add to their food. Or you can give him a spoonful of plain yoghurt with live active cultures.
Not too much yoghurt though since it's a milk product. You'll need to pick up some canned kitten food ( or a canned premium cat food for 'all life stages' like Wellness, Merrick, Blue Buffalo Wilderness etc.) I would also get some Kitten Milk Replacer (kitten formula) since you know he will drink a milk-like liquid. Then if needed, you could mix that with the canned food at first.
Thanks so much for caring about the kitten. I really hope you can get the little guy to a vet as soon as possible.
Hate to tell you but this kitten is VERY sick and w/o immediate vet care he may not last much longer. It may be too late now. The 1/2 and 1/2 didn't help anything either!
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