Diabetes has a strong familiarity, i.e. it is more frequent in families where there is at least a person affected.
If your mom has diabetes type 2, there is a higher probability compared to general population that you will have diabetes too.
You can prevent this condition (or at least delay it as much as possible) with some dietetic measures. For example, reducing sugar intake, eat more regularly, avoid alcohol excess, etc. Running is not exactly an anaerobic exercise, so it can actually be not enough.
Also regular physical exercise is a good idea, the best option is walking, swimming or other aerobic exercises.
I’m not sure that your eye problem is related to the diabetes in some way. It seems more a form of conjunctivitis, maybe caused by the Spring. Are you allergic to something? Did you touch your eye with dirty fingers? Also an infection can cause such a thing.
Eye problems related to the diabetes are more limited to the retina, and usually arise only after many years of ill controlled diabetes (it seems that is the prolonged hyperglycemia to cause the retinal damage).