Dr. Wilkins

Dr.Tail Vet

Another possibility is that the stickiness is due to an external substance your cat has come into contact with. Check the areas where your cat plays and sleeps for any spills or substances that could have adhered to its fur. Clean these areas thoroughly and keep your kitten away from them until they are safe.
If the skin itself is sticky rather than just the fur, this could indicate a skin secretion, which might be a response to an allergen, infection, or parasite. Since you've mentioned that there are no flea and tick preventions currently being used, it's wise to check for signs of fleas or other parasites. Look for tiny black specks (flea dirt) or actual fleas moving through the fur.
Regarding the eye issue you've mentioned, eye discharge or changes in appearance can be signs of conjunctivitis, injury, or an upper respiratory infection, especially in a young kitten. Gently wiping away any discharge with a clean, damp cloth can help, but avoid touching the eye directly.
Since your kitten has not yet been vaccinated, it's at a higher risk for various infectious diseases. Vaccinations are crucial in preventing serious health issues, so scheduling an appointment for vaccinations is highly recommended.