What should I do if you are breathless, wheezy, cough, and dizzy after coughing?

See doctor... Your symptoms are likely due to bronchospasm and airway inflammation. You will likely need a beta- agonist inhaler and a steroid inhaler. Shortness of breath can be a life-threatening symptom so you need to see a doctor asap so your symptoms can be evaluated and treatment rendered.
Pulm function test. These are breathing test done as an out patient which determine is you have functional breathing disorders. You should also be checked for acid reflux.