It seems from the history that you had subconjunctival hemorrhage
where the eye appears red because of collection of blood under the conjunctiva in the subconjunctival space.
Subconjunctival hemorrhage is commonly seen following injury to the eyes. It can also be seen in vascular conditions like diabetes
and hypertesnion because of breaking of fragile arteries. As per your history you had increased cholesterol
and blood pressure and this may be the reason for this.
Treatment is not required as subconjunctival hemorrhage gets absorbed by itself, but you need to undergo treatment for hypertension
and any other associated eye condition.