I've been having this dull pain around my right eye for the last three/four days and I'm not quite sure what to do about it.

Have it checked out. Any pain that is persistent and unresolving needs to be evaluated to make sure that it is nothing serious. Dull ache pain around the eye can be anything from dry eyes to high eye pressure to cluster headaches to tumors. Please see an eye md (ophthalmologist) for further evaluation if the pain continues.