Considering adopting a rabbit?

Im an 18 yr old college freshmen living in a student apartment.

I really want to adopt a rabbit. I think they are cool animals, pretty much indoor, and id enjoy the company lol.

Basically I'm not sure what animals my apartment allows. I know dogs and cats aren't, but like fish are. ill find out, although there would be no possible was they would find out i had it I'm on the top floor.

But i need to know some things about rabbits. I don't know any breeds. I just know I want a grey one (pathetic right?) lol. And i need HIM to stay small. Im not sure how big rabbits grow but i can't handle one that grows to cat size. He needs to stay little into adulthood, so the cage isn't that big and he is manageable. The rabbit i found selling locally seems to fit what i want and he comes with the cage, hay rack, water bottle, and some food.

The breed the owner said was an opal Holland Lop. Could you explain how big this kind gets and their tendencies?

Also, do rabbits need to get neutered like a dog? my rabbit most likely won't be interacting with other rabbits like that but I don't need stuff all over the place lol.

I have money to pay for it but how much a month would you roughly say is its costs?

Do you have to bathe a rabbit and groom it like a dog?

Are rabbits aggressive and do the bite?

Do they have rabies and are rabies shots needed?

Do they enjoy outdoor exercise and what would be good for indoor exercise?

How often do they need to eat?

How long can they be left alone? For instance if I had back to back classes from like 12-4 pm would they be ok? Or on weekends if I went out for the day and left food and water would they be ok?

Do rabbits use litter boxes? Can they be trained? Are the able to learn their names or commands or even tricks like a dog?

I have owned a dog for most of my life back home so I know how to maintain an animal. I just know rabbits are different so I need some answers.