ive never gotten to the extent of removing that piece. however, im pretty sure behind that is alot of circuitry going to the screen, and i really do not think its replaceable
so, where you have to apply pressure to get it to show correctly, that spot is NOT where the ribbon cable is connecting? i'd just order a replacement screen. nothing wrong in getting a used one either, i replace broken screens with used ones at work all the time, alot from ebay that are still in grade a condition. sometimes you can score one thats in grade a shape for around 45 bucks
if you get one and want some help replacing, let me know. id be glad to help, its really not too hard. you already made it this far, you might be able to get the rest on your own
IMPORTANT: be VERY careful with that, the screen itself, and its brackets that mount to the hinges, are completely separate from the plastic outer shell. when you are taking out the side screws to get the brackets to release the screen, be very gentle... the farther you separate the brackets from the plastic shell, the more likely you are to break off the plastic lugs that hold the bottom portion of the plastic on. they are extremely weak, so dont just try and pry them apart to get more room to access the screws. only move the two apart JUST enough to fit a tiny screwdriver in