Hi welcome to the health care magic
You have not mentioned duration of your cough and chest cold...
Here if cough is since three week than better to investigate with chest x ray also
Work up done as follow ...
-Auscultation
-CBC
-
Spirometry only if needed
If CBC shows high eosinophila than fexofenedine given for 10 day course
If
neutrophilia present than antibiotic prescribed
Meanwhile if cough wet and doesn't expelled out
Ambroxol or bromhexin containing syrup can be prescribed for that
Take
phenylephrine like decongestant for relief
Vitamin C lozenges chewed four times a day
Take care
Bruise might be from injury or excess coughing..
If pain develop and increase in size than USG done for that
Consult pulmonologoist for examination and further work up
Hope my answer will help you