If you believe a kitten is in need of medical treatment, take it to the vet immediately. Such a small kitten can easily die if not treated. Never give a kitten or a cat human medicine; a vet will be able to prescribe medicine that is safe.
The mother cat gives birth to the kittens.
milk
Kittens naturally get goop in their eyes; you just need to keep wiping their tear ducts regularly. If the goop seems exessive, take the kittens to a vet.
yes
you can buy a good medicine for ill kittens at petco(depends on what kind of illness the kitten has).if u don't have a petco at your state then u should take it to a vet.
She felt that her kittens would be safer there.
No, I do not think it is safe for you to take them on a holiday because the kittens are only a week old, and they aren't old enough to do hardly anything, much less take a trip/holiday very well. Since it isn't safe, you should probably find someone to feed your mother cat, and check on them every so often to make sure they're okay, but you definitely shouldn't take them on a holiday/trip.
Kittens need their mother's milk for at least 8 weeks.The answer to your question is yes.
I believe that taking penicillin during the 11th week of pregnancy killed my baby. I would be interested to know why this question was originally posed as I am concerned that the medical profession is not collating data which could indicate that penicillin is not as safe in pregnancy as they choose to believe.
the kittens nose is snotty because its stuffed up.
It is probably teething. Give it something else to chew on.
Call the fire department .