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Both the conditions that you are describing do not seem to be related. The double vision (as stated in your previous history) seems to be due to weak eye muscle secondary to a nerve involvement. This seems to have healed partially, resulting in double vision or eye strain when you are tired. If your eyes are parallel and not squinting, I would not recommend a surgery. On the other hand exercises to improve the muscle tone for the eyes and resting your eyes (by closing them) intermittently during the day might help.
The vibratory sensation that you are describing again can be due to multiple reasons like Vitamin B12 deficiency, electrolyte imbalance, excessive tea/coffee/alcohol, calcium deficiency, hormonal imbalance (hypothyroid), lead toxicity or an early neurological problem. I would recommend you to get an evaluation by your physician to rule out the above problems. In the meantime take a good multivitamin supplement, calcium supplement, drink lots of fluids (juices to take care of any potassium imbalance) and cut down on tea/coffee/alcohol.