Hello,
As per your query you have symptoms of 
tonsillitis along with a severe cough which seems to be due to severe Upper 
respiratory tract infection. You need not worry. I would like to advise you the following
- Do warm saline gargles with a pinch of salt water. 
- Take a cough expectorants. 
- Avoid cold carbonated beverages.
- Maintain complete hygiene.
- Take steam inhalation is very effective for you. 
If symptoms keep on persisting 
consult ENT specialist once without any delay. The doctor may order a 
blood test, throat swab test and may prescribe antibiotics 
amoxicillin or penicillin at least for ten days along with decongestants and mucolytic agents.
Hope I have answered your query. Let me know if I can assist you further.
Regards,
 Dr. Harry Maheshwari