Suggest Treatment For Nose Bleed And Dizziness After Treated Sinus Problem

I have a severe sinus infection. I am also taking warfarin and I am on oxygen. The oxygen has caused my nose to dry out so every time I blow my nose it is bloody. Lately, I have become dizzy a lot of the time. I am taking Tylenol extra strength 500/mg for the sinus pressure and pain. It was after I started the taking the Tylenol that I became dizzy. I looked at the drug interactions thing on WWW.WWWW.WW and it said to be worried if there is pain, dizziness, etc. Should I be worried. I live in Louisiana, where the barometric pressure changes all the time, which makes my sinuses go nuts. I don't know if what I experiencing is normal or should I be worried?