Hi..
Welcome to HEALTHCARE MAGIC..
I have gone through your query and can understand your concerns..
As per your complain it seems that 
sore throat along with wet cough can be due to causes like Upper 
Respiratory Tract Infection, 
Bronchitis, 
lung infection etc..
I would suggest you to consult an Otolaryngologist and get evaluated and he can advise you investigations like throat swab culture, 
sputum culture, chest x Ray can help in diagnosis and treatment can be done accordingly..
You can be advised to take a course of antibiotics like Augmentin, anti inflammatory painkiller like Ibuprofen, do warm saline gargles, steam inhalation and use a humidifier in your room..
Suck throat lozenges and chew a Vitamin C pellet.. 
Avoid hot, spicy and chilled foods and drink plenty of water..
Take a soft and bland diet..
Hope this information helps..
Thanks and regards.
Dr.Honey Nandwani Arora.