Going by your case history, it seems to me that probably the entire thyroid must have been removed in the second operation and you must have developed bilateral vocal cord paralysis due to injury to the nerves that supply the voice box. Initially the vocal cords must have been spaced so nothing happened for a year and then you must have developed some swelling due to infection and thus had strider. That is the reason you had strider. And thus an arytnoidectomy was done to make a space through the closed paralysed vocal cords to help you breathe. Going by the medicines that you are having, it seems that even parathyroids have been removed. It is surprising to note that a cyst has developed and it shows a thyroid tissue, maybe some tissue was left behind.
More clinical details of your surgery are needed:
1. FNAC report before surgery.
2. Ultrasound report of the thyroid before surgery.
3. Thyroid scan report of the nodules before surgery (Important).
4. Histopathology of the removed thyroids. (Important)
5. Larygoscopic picture of the vocal cords after thyroid surgery.
6. Larygoscopic picture before arytenoid surgery.
7. Thyroid scan of this small swelling in front of the trachea (Important).
I want to assure you that there is no need to have any tension and please relax. There is nothing to worry and the worst is over. Any centre in India is better for this treatment, even a city like Hyderabad has very good hospitals and expert surgeons.