Since you don't have any headache or fever and no purulent nasal discharge,there is no need for Any antibiotics as this is not acute sinusitis
You are suffering from chronic sinusitis
Treatment consists of
Avoiding cold and chilled drinks
Steam inhalation three times a day.
if doing it
Take some anti allergic like CETRIZINE
in night for 5 to 7 days.
You should be all right with these in next 3 weeks.
If there is no improvement then consult a physician and get a CT sinus done for the exact diagnosis and management.