Hi,thank you for posting your query on health care magic.
looking at your symptoms,you are suffering from inflammation in the
respiratory tract.
Coughing or blowing forcefully may lead to a tear in the tiny blood vessels in the congested nose leading to bleeding.
I would advise you to avoid coughing or blowing nose forcefully.
You may get relief by taking following medicines:
Oral Decongestant like
Phenylephrine with Nasal decongestant drops like Xylometazoline(use a decongestant only if you are not suffering from
high blood pressure,
heart disease,kidney disease,high pressure in the eyes-Glaucoma),Mucolytic like Ambroxol,
Bronchodilator like Salbutamol,Analgesic with Anti-inflammatory like Ibuprofen,Antihistaminic like Cetrizine and a Saline Nasal Spray.
Also do steam inhalation.Avoid cold,spicy and oily food.Drink lots of fluids(warm).Avoid dust,smoke and other pollutants.Do warm saline gargles.
Hope this answers your question.Get well soon.