The mother cat gives birth to the kittens.
milk
She felt that her kittens would be safer there.
Kittens need their mother's milk for at least 8 weeks.The answer to your question is yes.
you should probly make the kittens get in the carrier because they can get nemonia
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.
If it is cow's milk, it could make the kitten sick. Some cats are lactose intolerant and such a young kitten getting diarrhoea can quickly leave it severely dehydrated with can become fatal in a matter of days. Specially formulated kitten milk that are found in most stores are perfectly safe for kittens and adults to drink as a treat.
The puppy can get sick.
Call the fire department .
It is probably teething. Give it something else to chew on.
Yes, if mama cat is comfortable witgh you, there shouldn't be a problem touching the kittens. But don't forget, 1 week old kitten haven't opened their eyes yet so they need their mother very much, so try to handle them too much.
Mom cats often adopt another cat's litter, especially if the mom recently gave birth. For young kittens, that's okay BUT mom will need more food with protein (e.g. a good dry and wet food). However, 12-week old kittens should NOT be nursing. Separate the older kittens from their "adopted" mom and get them onto dry food.