I was exactly the same in my first pregnancy. I found cold compresses gave me some relief.. I was often found sleeping with a cold washer draped over my eyes and nose. Panadol did nothing for me either.

If you do suspect an infection.. ask your GP for antibiotics that aren't penicillin. Or ask at the pharmacy if there is one that is safe in pg that isn't penicillin.

Mine wasn't infected tho.. it was just painful.

Maybe have a chat to the pharmacist about hayfever sprays and you can weigh up the risks of using those.

FWIW I think my headaches eased up around week 15 or so? I can't really remember.. but they definitely eased up and eventually disappeared. *big hugs* I really know how you feel.