Unfortunately the free repair program is only good for up to four years after the original purchase.
If the delamination issue only affects the edges of the screen, then leave it alone since it doesn't affect the viewable work area. If, however, the delamination issue is affecting the center area of the screen to where it is distracting, then it may be possible to remove the coating. It is risky since it may make things worse if all of the coating cannot be removed, plus there is a chance you could damage the LCD Panel or glass in the process. We only attempt to remove the coating when the laptop becomes unusable if it is not removed. Without the anti-reflective coating the colors shown on the display will appear slightly different and of course the display may show much more glare from the lights.
If you don't touch the glass and minimize cleaning the glass, then the coating should take much longer to wear off except perhaps where the keys rub against the glass if pressure is put on the display when carrying the laptop or when it is in a laptop bag. From what I've seen the coating usually comes off due to people cleaning the glass or from where their fingers rub the glass when opening & closing the lid. Of course there are always exceptions.