you are suffering from hiatus hernia
which is causing gastro esophageal reflux disease(GERD). The cause of your cough and shortness of breath
ie asthma like symptoms or you could already be suffering from asthma which is getting aggravated by GERD. You are already taking treatment for GERD but not taking any thing for your asthma like symptoms. You should get a PFT done and then start taking montair lc, seroflo
inhalers and doxyphyllin tablets-400 mgm twice a day beside your GERD medicines.