First of all I would see if the backlight is OK.
If you shine a bright light on the screen is the image there?
Opening and closing the lid could be a sign of a break in a connection or lead. What happens if you activate the "lid close" switch a few times to simulate opening/closing but without actually moving the lid. Switch is usually on the back edge of main casing operated by a lug on the lid.
That might at least prove something as electrically that is all that happens closing the lid. If the screen stays on it would point to a connection issue.
It may not even be a hardware issue, hard to say really... a complete factory reinstall (from hidden partition) may be the answer or perhaps try system restore first.