I have asthma and am a smoker. Asthma can be triggered by allergies, but it can also be triggered by upper respiratory infections (viral or bacterial), exercise, and extremely cold air. Doctors don't diagnose COPD if the condition is not chronic, that's a key part of COPD. The fact that you have had two colds, and the cough went away after the first one indicates a reactive asthma vs COPD...COPD does not go away, ever.

Congratulations on the quitting smoking...I haven't been able to do that (allergic to the patch and the lozenges make me nauseous)!