Hi..
Welcome to HCM..
As per your complain
bad breath also known as Halitosis can occur due to a number of causes like poor
oral hygiene, oral and dental infections, tonsil stones or tonsilloliths,
post nasal drip, sinusitis,
acid reflux,respiratory infections, diabetes etc..
Nasal tissue removed can be nasal polyp that must be causing
nasal obstruction and breathing difficulty..
You should consult an Oral Physician or an Otolaryngologist and get evaluated and a thorough clinical evaluation and investigations depending upon suspected cause can help in diagnosis..
Treatment of underlying cause will relieve the symptoms..
As of now you should start gargling with a flavoured mouthwash twice a day..
You should chew flavored sugarfree chewing gum..
Do warm saline gargles twice a day..
Limit the intake of high aroma foods like onion and garlic..
Drink plenty of water and maintain a good oral hygiene..
Hope this helps..
Regards,