Congratulations on quitting smoking. Yes, anxiety and shortness of breath is not uncommon and should generally wear off within a few weeks and may last up to 2 months after quitting smoking. I believe acidity may very well be playing a role in your continued respiratory symptoms. I would recommend a basic medical evaluation just to be on a safe side to rule out any other cause. Sometimes, a trial of antacid may be recommended to see if it helps.
Health Tips
Drink plenty of water, observe acidity precautions.