I had gerd reflux esophagitis. Ashtma?

Hi dear Doctor's last year i was diagnosed with reflux esophagitis from last 6-7 months i have no symptoms of gerd sometimes feel light burning sensation in chest n stomach.. But recently from last month nd a half i got fever n cough from tat time I'm feeling tickly cough, phelgm and throat clearing issues tried every syrup didn't work after that consulted doctors was prescribed montelukast and antibiotics worked nicely once the course is completed it started again.. I'm confused whtr the cough and throat itching is from Gerd or Allergic rhinitis or ashtma? I dont have any other health issues no breathing problem i do jogging daily for 30 mins without any problem.. The cough usually starts when i wake up in the morning with light wheezing feel in throat and chest and it clears in afternoon without any medicine.. plz help