Something is wrong with my hamster.?

Its looks like my campbell hamster is hick-cupping. Here are the symptoms: losing fur around the eyes, making a small hiccuping sound, looks like its its studdering or trying to throw up every second, looks like something is wrong with his jaw, it look like his teeth are overgrown, but i did buy a thing where it can munch on but they don't use it. I just checked his teeth and it is about a little smaller than a width of a pinkie finger nail. I try to clean their cage at least once a week. Do you think my hamster, Chomppaz, have mites,rabies, or just overgrown teeth? If it is overgrown teeth how do i make it better?