I would have problems with my lower orbitals when my sinuses would get
inflamed/infected.  The tube that connects the eye to the nose would
also get inflamed and I would have a bug-eyed look.  This was fixed
with steroid nasal sprays.

Yep, my eyes always are irritated and watering with a sinus infection.
I think it has something to do with infected tear ducts.

I've had problems with this as well.  I actually got an eye infection
while I had a sinus infection.  My eye doctor said it's somewhat common
for a sinus infection to move to the eyes.  My eye got red and I started
getting gunk in my eyelids.  He prescribed antibiotic/steroid eye drops
(Tobradex, I believe) which cleared up my eye very quickly.

I find I have a lot more tearing whn the infection becomes active.
..Especially when driving in the bright light. ...Also, I have had
interior pain if I pushed on the one eyeball. ...This was cleared up by
the H²O².

But listen.  ...Your symptoms sound very much like Iritis. And you don't
want to screw around with this.  ...Try this experiment: Make your eyes
go cross-eyed. If it hurts to do this, go to an optomerist
"Immediately", and tell them to do a quick check for Iritis. (They'll
take you in without an appointment -- it's that critical)   ...I spent 6
weeks with my one eye having the vision as if I was looking through a
heavy fog. ...It was very scary, and it all started out with symptoms
exactly like yours.   ..Jon