Side effects question?

I am a former smoker of 34 years. I am 49 years old and I had my last cigarette on February 12, 2016. I am so proud to say I am a "non-smoker". I have a question/concern and hope that someone can answer my query? For the past 3 weeks I have had a cough but am able to expel mucous from my lungs and nasal passages every morning. There is no colour to the mucous and is clear. The cough does not hinder my sleeping etc., it is more of an annoyance than anything. I find myself getting out of breath quite easily too. After climbing a flight of stairs or even just doing a simple task as watering my plants or weeding the garden can sometimes leave me out of breath. I recently attended the local hospital emergency because I could not get into see my regular doctor for a month and the doctor on call had chest xrays done. She said my chest was clear. She then proceeded to have me put on a mask and I was given a treatment of medicines (ventalin) which seemed to help my breathing for the duration of that day. I had the treatment done on June 28. I was diagnosed with seasonal asthma and given a prescription for an inhaler. I had discussed with the doctor that I had quit smoking in February and if this could be a side effect of quitting smoking. She congratulated me on my success for quitting but dismissed my question. My husband believes my symptoms do have everything with quitting. He quit in January and said that he had similar symptoms in March. I am able to take deeper breaths day by day and have only used my inhaler only when necessary which has only been twice since the 28th of June. Thanks for reading my little blurb and I look forward to your thoughts on this.