I ran into similar problem on an IPad 3 and was able to fix it.
The black retaining clip was broken off.
I found this article but it was for the digitizer, not LCD:
Digitizer(Touch screen), Not responding after Tear down.
The fix is similar to either case.
I used a thin plastic piece, cut to the size of the ribbon cable and push it in, on top of the ribbon cable to thicken it. Instead of the mylar tape, I re-used the screen protector from an old Nintendo DS and cut it to size. I did not think it would work but it did for me after 4,5 tries. I believe any screen protector would do, if you do not have the mylar tape around.
Good luck.
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