The four houses are named after the founders of Hogwarts, Godric Gryffindor, Rowena Ravenclaw, Helga Hufflepuff and Salazar Slytherin who were all brilliant wizards. The houses appear to be famous because nearly all of the characters in the book have at some point attended Hogwarts and been around these houses.

by teams I think you mean houses, but I could be wrong. But teams at Hogwarts, there are 4 by teams I think you mean houses, but I could be wrong. But teams at Hogwarts, there are 4

Griffindor, Hufflepuff, Slitherin, Ravenclaw

Zero.

Yes, all four of the houses at Hogwarts (Gryffindor, Slytherin, Hufflepuff and Ravenclaw) play Quidditch.