Hi, thanks for using healthcare magic
It sounds as though you may have
bronchitis. Bronchitis means inflammation and infection of the bronchial air passages in the lung.It may be viral or bacterial.
In most cases it is a viral infection.
The blood that you are seeing is as a result of inflammation of the lining of the nasal passages.
You can consider using a
mucolytic which would decrease the viscosity of the mucus and allow it to be expelled easier. These are usually available over the counter.
In addition the use of a
cough suppressant if the cough is severe and an antihistamine may also help.
If you still have nasal congestions then you can use a decongestants.
These medications are often combined, you may be able to find one medication that has a mucolytic, decongestant and cough suppressant in it.
I hope this helps and you feel better soon