Hi welcome to the health care magic You are having bacterial infection of pharynx or upper respiratory tract as per history and this is secondary to previous viral infection... You should be investigated with.... -Posterior pharynx examination and Auscultation -CBC with AEC also -ESR You will be prescribed levofloxacine like good broad spectrum antibiotic Here mucus production present Hence cough is wet Mostly it will be bronchitis Decongestant like chlorpheniramine or cetrizine will also be prescribed If needed and cough not improving sputum examination and chest x ray done for further work up If CBC shows eosinophila than for allergic inflammation fexofenedine prescribed Take care Consult physician or pulmonologoist for examination with keeping all this in mind Hope your concern solved