My newborn kitten has dry, flaky skin, yucky ears, and stuck eyes.

Hi and thanks for using Petco Pet Education Center, formerly Petcoach! The pictures are good but it's still tough to see what is going on. Hair loss with dry/flaky skin is often indicative of ringworm especially in kittens. This is highly contagious to other animals and to people making it a zoonotic disease. I would definitely have a vet evaluate the litter and start treatment for a fungal infection right away to prevent this from getting worse. I would quarantine the litter away from all other pets and humans especially young children and the elderly since they are most likely to get infected. Even the shed hairs can contain fungal spores so direct contact with the animals is not required to get infected. It could be something else but in the pictures it is highly suspect since it looks like the paws and tail are affected. Other possibilities include mites, bacteria, external parasites (fleas, etc), dietary problems, intestinal parasite problems, among other things. Your vet can evaluate them and advise a woods lamp exam, skin scrape, fungal culture, hair analysis, etc to determine what is going on. The ears could be infected with ear mites and they could evaluate those also. Eye problems in young kittens are often due to viruses which infect the eyes and cause upper respiratory infections. These are contagious also along with the ear mites to other cats and dogs. Your vet can evaluate everything that is going on a make a plan to solve the puzzle. They can advise a sound treatment plan in addition to guiding you in preventive health care items including deworming, vaccines, flea/tick products, etc. Good luck and I hope it's not ringworm.