Could I possibly have anemia?

Your fast heart beat, dizziness and pale skin (check for paleness inside your eyelids/underneath your tongue) can be due to anemia. Another common symptom is chronic tireness. There is a simple blood test called hemoglobin count that'll tell you if you're anemic. Anemia is quite common if you're a gilr and lose a lot of blood from menstruation, but is worrisom if you're an otherwise healthy guy (no reason to lose blood)