Welcome in H.C.M. For consultation.
I have gone through your query regarding popping of your right ear after blowing of your nose, and you are already suffering from sinusitis
Since you are having sinusitis therefore infected discharge of sinuses
goes to throat from nose, in this way sore throat
develops and as you were blowing your nose this infection forcibly entered your ear via Eustachian tube thus your ear gets blocked ad you feel popping.
as far as treatment is concern as home remedy you should try steam inhalation. If you are not benifitted by steam inhalation than with consent of your doctor you may take Antibiotics, anti inflammatory, Decongestant drugs. If it remains untreated you may land in complications like otitis media
I hope your query is now explained well.