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Some medications such as birth control pills, Aspirin and estrogen therapies are known to be a cause of broken blood vessels on the face. They increase blood pressure, causing breakage of facial blood vessels and hence the redness common on the cheeks and around the eyes. Aging is also a cause of broken blood vessels. The red spots common on the elderly are not the color of aging skin. They are the result of broken blood vessels. As the human body gets older, it becomes fragile and prone to damage.
If you have high blood pressure then this can result in chronic flushing in the face. High blood pressure can be caused by various things  such as cholesterol which is fatty deposits clogging our veins and arteries. This essentially thins the space available in the blood vessels thereby increasing blood pressure.