Ummm.... Does your school wipe/wash down the mats and equipment every day or every other day? That should be done.
Make sure any infections on your body (staph) are cleared up asap. These can be contagious. Clean contact points before and after practice. Make sure the sore areas are always covered/taped properly until healed.
Athlete's foot is also contagious, its fungus. Air usually is one way to prevent it, but if you are in constant contact with athlete's foot, then I suggest getting your feet and shoes treated. Also change to clean socks before you practice, and then another clean pair after you practice. I know some TKDists do not like to practice in socks, but if you have athlete's foot now, don't expose yourself and others needlessly until recovered.
Many dojos/dojangs tend to keep their places reasonably clean. If not, then it shouldn't be a place to train. I do know of some "garage dojos" and the instructors also tend to be conscientious with keeping them clean.
If you have neither of these problems at this point, do not go overboard with paranoia about it. Do take reasonable precautions in maintaining your personal hygiene. Wash your dobok often.
- Ceicei