Thanks for your question on Healthcare Magic.
I can understand your concern.
Best treatment of bronchitis is inhaled treatment.
Since you are not taking inhaled treatment, you are not improving completely and still having cough.
So better to
consult pulmonologist and get done clinical examination of respiratory system and PFT (Pulmonary Function Test).
PFT will tell you about severity of the disease and treatment is based on severity only.
You will mostly improve in cough with inhaled bronchodilators (formoterol or
salmeterol) and inhaled corticosteroid (ICS) (budesonide or
fluticasone).
Coughing causes
musculoskeletal pain due to strain on ribs and intercostal muscles.
So you can take simple painkiller like
paracetamol or ibuprofen. Apply warm water pad on affected areas of chest.
Don't worry, you will be alright with all these.
Hope I have solved your query. I will be happy to help you further. Wish you good health. Thanks.