Yes I get these exact same issues. I don't know if the anxiety makes it worse but I would guess yes. I know it makes my anxiety worse and then I focus on them a lot more!
I got so paranoid about it (I see you fear brain tumor, I fear MS but similar symptoms), I went to neurologist who found nothing. Then went to the ENT. Of course the ENT told me most people do it the other way around but oh well!
Anyway, I found out that not only am I suffering from chronic sinusitis, but inner ear issues as well. That may be the source of your dizziness, especially since you have ear pain (I have that too). Or sinuses on their own. I get headaches, eye pain, vision issues, dizziness, runny/stuffy nose, pretty much everything you mentioned. And now from the health anxiety it has caused me I have a whole host of other problems like twitching, tingling, on and on in addition to what I was already dealing with
For me personally, it did not respond to any of the conventional treatment, and I'm going to need surgery to fix it. Just a minor endoscopic surgery to clear the infection out and fix a few structural issues. Hopefully then it will help the inner ear as well, just getting that fluid and infection out of there.
I would ask for the referral if it's that bothersome to you. There are treatments, and you don't have to suffer like that! They can also check to see if you have allergies that may be causing it all. They thoroughly checked me for all kinds of allergies. Nothing came up, but at least I know now that's not the cause.
I know I'm actually looking forward to that surgery as weird as that sounds. I just want to feel better, and hopefully a by product will be helping my anxiety if I can get those symptoms to go away!