I would not worry so much if I where you. With that prescription I think your ok. The only thing you have to do is to get contact lences, they can improve your vision by one line or so.
My only advise is to be persistent. Start all over again. Get the contact lenses and for one month go to your optrician for one week and get an eye examination and send them in.
sooner or later they will give up. Also try to use the amblyopic eye as much as possible.
I don't think its because you are from asia. Its more because you are young. The eye stops growing at about 21 years old. The examiner doesn't know if the amblyopia is going to be worse by age. The thing I find very strange is the fluctation on your vision.
Also the FAA route is a bit tricky for you. You need 20/20 vision for the FAA first class medical. You should rather try to do JAA medical in another country.