You don't have to change the plates when moving provinces. I moved from Non Khai to Korat and it was fine. Only time to be aware is when you sell, as i did, then the buyer from a neighbouring province wanted to change on ownership. You just sign the papers then they do the leg work.
when i click on your link you kindly gave this is what i get? Not the forms we are discussing, i am sorry but am i missing something else? Please see screenshot
You also might still be required to have health insurance cover for approx 2.5 million bht. But please do check as so much has changed since i converted my OA to a non o retirement (which does not require insurance, but you do have to have your eight hundred thou in a Thai bank account.