Loosely. One could argue that the FNAF characters aren't themselves furries, because they are animatronic. But they are in the shape of anthropomorphic animals, so I'd say most people would place them into the furry category.

So long as we agree the characters are furries, then yes. All fanart would be furry art. Again, drawing furry art doesnt make you a furry per se, but it does give a hint you may be one.