In the meantime, if you're feeling adventurous, you might want to give the screen surround a squeeze along the bottom between the hinges, on the offchance that it's a connector problem, the connector is between the hinges, and squeezing it would help :-)
And in some jurisdictions you need to avoid a legal threat as long as possible: some tech support scripts tell the support person to stop talking to you at that point, and simply repeat the address of the legal department from then on.