It seems like the issue with your laptop could be related to the recent repair where the LCD was replaced due to a previous drop. Here are a few things you can consider to troubleshoot the problem:
1. Check the LCD Connection: Since the issue started after the LCD replacement, it's possible that the connection between the LCD and the laptop's motherboard is loose or not properly seated. You may want to open up the laptop (if you are comfortable doing so) and ensure that all connections are secure.
2. Graphics Card or Driver Issue: The distorted image could also be a result of a problem with the graphics card or its drivers. Try updating the graphics drivers to see if that resolves the issue. If the problem persists, there may be a hardware issue with the graphics card.
3. Overheating: It's possible that the laptop is overheating, causing the distorted image and subsequent shutdown. Make sure the laptop's cooling system is working properly and that the vents are not clogged with dust. You can use software to monitor the temperature of your laptop to see if it's overheating.
4. Power Supply Issue: If the laptop is not getting enough power, it could result in image distortion and shutdown. Try using a different power adapter to see if that makes a difference.
5. Hardware Damage: Since the laptop was dropped before, there could be other internal damage that is causing the issue. It's possible that components other than the LCD were affected by the drop.
If you are unable to troubleshoot the issue on your own, it's best to take the laptop to a professional technician for further diagnosis and repair.