Potternut, I have been told that when you're trying to relax is when the anxiety sometimes likes to come out. The mind is so powerful.
Carlton, I have been dizzy in the past for a variety of reasons -- dizzy as in the world feels like it's moving, I get that with sinus problems and ear problems. Dizzy as in lightheaded yes I get that sometimes for no reason. I got it before I was on meds for my blood pressure (have yours checked, maybe it's up?). I get it sometimes due to period (that won't be your problem though haha), my anemia, hyperventilating and just plain anxiety.
I used to have dizziness as a prominent symptom of panic and anxiety so that when I was outside sometimes I had to hold onto store shelves to keep from falling over because I was sooo dizzy I couldn't move. It was anxiety and that was in the 1990's.