Go to the doctors NOW! Let him do a full blood count. You're iron values (don't know if that's the right term in English) may be too low. I'm struggling with the same exact problem at the moment.

Maybe see a doctor? That doesn't sound normal...

Get your boyfriend to a doctor -- he has a fever. Maybe even Covid!!

I think you both might need to see a doctor, OP. It seems he's overheating and you're definitely feeling too cold for being inside.

Turn the heat up so he'll have to take off the rest of his clothes.

Put on socks. That'll help warm you up

Trick for him is to have a fan on him. I have the same body temp issues, gotta have a fan on me or I overhear regardless of how cold it is sometimes

I think you need to visit the Dr.