the kittens nose is snotty because its stuffed up.
Only a Vet can answer that question. Take it to see one as soon as possible.
there are spacial kitten foods.
I have a 5 week old kitten that my fiancée and I rescued and he's healthy at 1.3lbs
A 4 week old kitten's eyes are not supposed not to be small since they open up by the second week hence they are becoming big.
When the mother rejects a kitten is often because there is something wrong with the kitten. It's natures way. However, if you take the kitten to the vet it's very possible you could pull this kitten through whatever is wrong, but you will have to be available often during the day and night to feed the kitten and to be sure it has it's medications.
take it to the vet
Kidney stones
from its moms milk it
if your kitten is bleeding from his "bum" he is sick and should go to a vet
It depends on what breed of cat.
Twice a day.
No!
no they need kmr or kitten formula ring a vet for advice on feeding