they both dislike cats
Humans share about 85 of their DNA with mice.
They are all rodents, and share some common characteristics, mainly their constantly growing incisor teeth.
Both are mammals and that is as close as the relationship goes.
Mice, rabbits, dogs
no
That seems very likely since everything is interelated.
Monkeys, dogs, cats, rabbits, mice and rats are used in laboratories.
Yes, if you go back far enough.
Common pets are animals that are very often kept by us humans, such as dogs, cats, birds, mice, fish rabbits, guinea pigs, ferrets, etc...
No
Mice can eat dogs only if the dogs are already dead, since a mouse could not kill a dog. And even then, dogs are so much larger than mice that it would take a lot of mice to eat an entire dog before it was too decayed to eat.
Mice is a common noun. It is the plural form of mouse.