Talking to the school is better than talking to Facebook.
Tell the school you need paperwork and do the next extension for the year after in May. Problem solved. Unfortunately immigration aren't the brightest and love causing pain and heartache for people.
Get an OA visa, come and go as you wish for one year, second year just get a multiple reentry permit and you have up to 2 years of hassle free come and go. Then do it again. After that, do it again or settle in Thailand. Each entry is 1 year, so go out and come back the day before your actual visa expires and you are good to go for the second year.