Congratulation on giving up smoking
Your symptoms may be related to quitting smoking.
Don't panic , but this is a short lasting problem only.
The tiny airways in your lung has microorgans called cilia that beat continuously to remove secretions from your lung.
Cigarette smoke contains many compounds that are toxic to these cilia ( ciliotoxins )
When you stop smoking , these cilia rejuvenate and you may have troublesome cough
Also if you had asthma
( may be undiagnosed) it can worsen for a few months after quitting smoking.
If your inhaler is helping you , do continue it but if you are not feeling better , consult a pulmonologist