Rats are always going to chew. It is instinct. Their teeth never stop growing and they must chew on wood and other things to keep their teeth ground down.
You will need a cage suitable for rats that they can not chew through. This would be a metal cage with bars close enough together that they can't escape or an aquarium with a metal cover. Be aware though, aquariums are not ventilated like the wire cages and must be kept very clean as it will hold ammonia and cause further problems.
There is no specific name for a cage for rats, its just based on what the housing is. So a cage for rats is just a cage. (Just like a hutch for rabbits is still a hutch even with no rabbits in)
Syrian hamsters may chew on their cage due to boredom, stress, or a need to wear down their teeth. Providing plenty of toys, exercise, and chew items can help prevent excessive chewing behavior.
Not all rats are afraid of cages. My rats have always loved their cage, and when let out to play would wander in and out at their leisure. If you have rats who are afraid of their cage maybe there is something in the cage they do not like, maybe the cage is too small, maybe the cage is not comfortable enough or in a good position. Maybe there is something near the cage that scares the rats or maybe they do not get enough playtime and then resist going back into their cage. There are many reasons why a rat may be fearful of their cage, so there is no definitive answer.
No.
no
No they might choke
yup, wild ones almost always do. And pet rats have their cage.
Chewing on cage decor, chirping and social.
Provide the hamster with chew toys or wooden sticks to divert its attention from the cage bars. Consider adding more enrichment activities in the cage to keep the hamster mentally stimulated and engaged. Regularly interact with and handle your hamster to reduce stress and boredom, which could be causing the chewing behavior.
I know this works for hamsters, but I'm not sure about rats... anyways, rub your hands around in whatever you put in the bottom of their cage before you do so, so they get used to your scent.
First of all, guinea pigs shouldn't really live outside because it makes their life shorter, so if i were you i would just buy a indoor guinea pig cage and bring it inside so there will be no more rats!
Just keep it in it's cage or travel cage and it will be all right.