It appears that there is some amount of blockage in your lacrimal system which is causing repeated infections in your eye. You should use anti-biotic drops after a hot fomentation of your eyes 4-6 times a day for about a week. If it still persists, you should go for a syringing of lacrimal sac in the affected eye which will clarify the status of lacrimal system.
Cut on the retina
will affect the vision of person and it is unlikely to cause purulent discharge from the eyes.