All my teeth on top are broken off at the gum line. Can this be what is making me have a 101 fever and body aches and pain like the flue except in the middle of summer.

I think you should get yourself off to a dentist for a proper diagnosis of your teeth. Yes, your medical problems would have a lot to do with infection in your mouth and surrounding areas. You must have this seen to. I can imagine what it looks like.

I don't think this has anything to do with the seasons.

Yes, serious teeth issues can leave to serous health issues and infections, that may cause very serious health issues, if untreated, and infection spreads, life threatening things can progress