1. Sub conjuctival hemorrhage is a common cause of eye redness and in elderly systemic vascular disease like hypertension diabetes, and arteriosclerosis are major risk factors and since it is recurrent/persistent on you thus further evaluation including workup for systemic hypertension, bleeding disorders (thrombocytopenia and platelet dysfunction),systemic and ocular malignancies and drug side effects is warranted. 2.check with an Opthalmologist who after careful slit-lamp examination will determine to rule out any local ocular condition and after excluding ocular factors, further systemic evaluation is necessary.