Hi welcome to health care magic...
According to history you are having
Acute pharyngitis leading cough...
Your posterior pharynx should be examined by doctor and CBC report done.
You should investigated with ASO titre or throat swab for rule out streptococci pharyngitis...
For that
Amoxycillin with
clavulanic acid combination drug prescribed for five days
Drink more water
Excess spicy food and fried food restricted
If needed diluted betardine gargles might needed ...
Salt water gargles done for three times a day
If wet cough present than for its expulsion
ambroxol containing syrup can be prescribed..
If still not improving than auscultation and chest
x ray done to rule out brochitis
Take care
Advise : Physician consultation for examination and further work up