Is there any home-made remedies or exercises that will remove epicanthal fold? Or at least improve the look of it?

TCA chemical peels for lower eyelid can be very effective and with excellent results. Also Fractional CO2 is another really excellent option for lower eyelid wrinkles. Neurotoxin also can soften the appearance of the crows feet and prevent them to form with smiles.  

While I understand your concern, if you trusted the Dr. to perform your surgery I would also trust him to manage any issues that arise in the postoperative period.  He knows your eyelids better than anyone else And I feel you should trust your judgment at this point.

People usually have severe swelling after orbital decompression and the swelling may interfere with their vision. We usually recommend to wait one to two weeks after the surgery to try to drive. But there few patients, who will recover much faster than others and their vision is fine to drive....

This surgical option is really not advisable, since it can cause double vision and many other problems. But it is the treatment for enophthalmos ( deep set eyes). The best treatment for you , I believe would be fillers around the eye. That is much safer and the results are very comparable. 

Smoking is never good for us.  It may not resolve the festoon but it is very good for your overall health.  Hyaluronic acid fillers can be used to fill in around the festoon.  There are other procedures for address these but they involve complex mid face surgery that is not...