Before you continue the sorts of workouts you describe ... go to your Dr. and have a complete physical. Describe your symptoms in detail. Insist on an ECG, and possibly also the exercising ECG.

Being dizzy when you hit your max hr or near it is normal for me (and I also see red), but 2 minutes later I'm fine again, I don't continue to be dizzy after.

(BTW - I have heart issues and I go for ECGs on a fairly regular basis, just in case. It never hurts to have one.)