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After thinking about your query and co-relating them with possible phathophysiology it appears as you are having acute upper respiratory tract
infection involving nose and throat and possibly infection extending to ear via eustachian tube and thus involving ear also as you are having vertigo
Blood in tissue indicates that nasal mucosa in inflamed and congested therefore some blood had ooze out during sneezing
For management of above you have to do-
1- Culture and sensitivity of nasal discharge.
2- X-Ray paranasal sinuses
3- X-Ray chest.
4- Blood- CBC, ESR, blood sugar (F & PP),
5- Sputum for AFB.
Till the investigations are going on and reports are awaited you may take-
a- Tab Paracetamol
b- Anti histaminics and decongestant.
c- Steam inhalation.
d- Antibiotic - Though it is decided according to culture report but till the report is awaited you may take antibiotic having broad coverage on gram's positive and negative both.
I hope you got the answer of your query.