Yes they are! As for what kind, they're mutts. Every single one is different. One looks like a moo cow, one is a tabby, and there are two white ones with grey paws. All of them, except for one gray one, is a Manx.
Yeah it does, but only up to like book 38 or so have come out in America so we won't be reading all 700 chapters soon. I am currently trying to self-teach myself but so far I haven't learned too much n.n;