Band of pressure around eyes. is that just headache or a sign of sinus infection?

Yes Could be either: Because the nasal sinuses surround the boney orbit that form the eye "socket" a sinus infection can cause tremendous pressure that may manifest this way. Other eye conditions such as glaucoma may also present initially as a band of pressure around the eyes or above the eye brow. I suggest you see an ophthalmologist and then an ENT doctor as soon as possible.

Ask an ENT: This could be a chronic daily headache or tension headache, or it could be frontal sinusitis. An ENT exam, perhaps with a sinus ct, can certainly make the distinction and direct proper treatment.