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My 2015 doesn't have the peeling yet. What I do see is where the screen has made contact with the spacebar and trackpad edge. It's never been dropped and the top and bottom covers have no dents. Wonder if they'd replace the screen for this issue.
 
The serial number laser engraved on the laptop at manufacture has my purchase date encoded in it?
yes, if you bought directly from Apple, but if you bought from 3rd party company date of purchase can be read by Apple as a date of activation using serial number (first time internet connection for new device), unless you will show the receipt which states differently,
if the serial number from the bottom is missing, Apple will obtain the serial number using diagnostic software
 
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