Ok. It sounds like you are having subconjunctival hemorrhages
In the vast majority of cases, sub conjunctival hemorrhage is nothing to worry about. It is usually not a sign of any serious condition but rather is just a small broken blood vessel in the conjunctiva that looks much worse than it really is.
No treatment is necessary. Think of a subconjunctival hemorrhage as a bruise. The reason it looks so red (some people say it looks like a piece of raw meat) is that the skin on your eye is very thin so the underlying blood shows through easily. On your arm, for instance, a bruise looks blue/purple because the overlying skin is thick, blocking the red color of the blood.
Like a bruise elsewhere a subconjunctival hemorrhage will slowly go away over the course of a couple of weeks. It may spread around the globe some and change colors as it clears. This is nothing to be concerned about.
I usually don't recommend any type of workup for this condion, however in your case, it sounds like you are having multiple bleeds close together. In this case, especially given the history of diabetes, you should probably see your internist for a few blood tests such as a PT/PTT, bleeding time, CBC etc.
I do not think this is an emergency but you should see your doc in the next week or so.
Does this make sense to you?
Please. Let me know if there is anything else you would like to know?