That seems silly (I mean the lack of power light). I would try plugging in to a computer, just to see if that does anything. I would also try holding the power button down for ages....like well over 30 seconds...minutes or as long as you have the patience for... while plugged in (if that doesn't work, I would do it again after leaving it on the charger for a long time, ie 24 hours).
Is there any evidence of damage to the screen (ie a cracked substrate, which shows with non-straight lines where there should be none in the image)? If you don't know what that looks like, try uploading a picture here...people on this forum have often been able to detect the signs, even when it is not that obvious.
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