It is true that you may experience headaches due to uncorrected vision, since your eyes strain to see better.
Headache due to refractive error, is usually recurrent mild headache felt at the frontal area and in the eyes themselves.
Headache and eye pain are absent on awakening and are aggravated by prolonged visual tasks during the day.
They resolve within 7 days, and do not recur after full correction of refractive error.
The eye pain is mild, dull, aching, with the feeling of tired, hot, uncomfortable, sore and strained eyes.
Headaches are side effects of contraceptive pills, too.
Another thing that need to be considered is the one sided headache and one sided eye pain when you move the eye ball.
If this eye pain on moving is accompanied with blurred vision, you should talk with your ophthalmologist about optic neuritis, or inflammation of optic nerve.
It can be a presenting, initial symptom of multiple sclerosis.
Headache is accompanying symptom of optic neuritis and MS.
Abnormal sensations like numbness, tingling, burning on skin extremities could be an early symptom of multiple sclerosis, too.
I don't mean to cause you excessive worries, just want you to be aware of possibility for these symptoms to be MS symptoms.

Best wishes!
Marija