No. No association known.
Doubt it! The bluriness you are seeing are likely due to fatigue and dry eyes!
No. More likely this will lead to eye fatigue and eye dryness which can affect vision, and eye drops can help temporarily. Good sleep is essential to being healthy.
No. Lack of sleep doesn't contribute to cataract formation.
No. There is no relation between the development of cataracts and sleep patterns.