I'm not sure I'm seeing the damage you're referring to in the first two pictures. If you're talking about the gap between the two wires on the right and the four on the left, that shouldn't be an issue unless there's something else that's not apparent in your pictures.
One of the most frequent causes of no picture issues is a backlight failure; the LEDs behind the LCD panel provide a light source that's filtered by the LCD into a picture, so when the backlights go out, the screen looks black, but that's just because there's no light coming through. You can check if that's the issue by holding a bright light up close to the screen and seeing if you can make out an image that way. If there is a picture, then it's only the backlight that's not working, and that's fixable.
I've most often seen backlights fail because individual LEDs fail and once enough of them go out, the controller will then refuse to power the screen as it sees the voltage being wrong. If that happens, the cure is to replace the backlight strips, at which point the control board will read the correct power and light up the screen again. If you're handy with a soldering iron, it is possible to replace individual LEDs, but the problem is that being all the same age, as some of them fail, that'll be followed by more of them going out so you'll be in a repeating cycle of, open the TV, fix the dead LEDs, put it back together, then a few weeks or months down the road do it all again, so it's best to just replace them all once enough fail that they won't light up any longer.
There may be further diagnosis that can be done once you've determined if the backlight is at fault that other contributors can help with, but as your first step get out a flashlight and see if there's a picture present or not. Come back and post what you find and we'll figure out what your next step should be.