Do you have access to a windows 8, 8.1, or 10 install usb/disk? I have booted from those before, then used the repair option on the second screen. A startup repair from there might work. You might need to acquire an external optical drive for a disk, of course. Have you tried also using program in command prompt? Sfc perhaps? I have found that normally the issue you're experiencing is related to explorer.exe not working correctly.
In my personal experience, system updates or malware are commonly the culprits. I would suggest to run an AV/malware scan. If that doesn't fix the issue.(make sure to reboot before testing) Either goto a previous restore point or refresh your system, depending on your OS. Once you post your OS, I can tell you how.
It sounds like it is a damaged connection of some sort. If the the screen was the problem, you would have dead pixels or visible cracks in the image. Look at the hinges of the device, often if they are damaged then that is where your locate the issue I haven't had the best luck in working on this kinda problem, but anything is repairable if you want to put the effort into it. Have you tried connecting to an outside display? Then you rule out a software glitch.
In my experience, you are probably right. It is probably you hard drive malfunctioning. It depends how far gone your drive is, in regards to how easy it will be to recover the data. In many cases, removing the hard drive and connecting to another computer as an external drive will allow access to the drive. You can get an USB to IDE/SATA cable for around $20 from Newegg. They are easy to use, and, if the drive is still somewhat functional, it will be like taking information off a thumb drive. If the drive is too far gone, you may need to pay a professional, but normally the cables do the trick. You will probably need a new hard drive & operating system, if you want to continue using the computer.
There is a good chance that something negative has happened to your hard drive. I would suggest going into your bios first. (When you first boot the system, hit the button that will give you access, normally ESC, DEL, or an F key) See if you can locate your hard drive (it may be referred to as HHD). If it lists the HHD, then you are probably experiencing software issues. If it is not listed, it is more likely a hardware issue. I can post additional help after you get to this point, in the comments.
Most devices with do a forced shutdown by holding the power button for a prolonged period of time. This should work with the Rove, although I have had hybrids like these react differently on rare occasion. What is your purpose for the forced shut down?
Do you have the old hard drive? You maybe able to recover the old key with a program called ProduKey. It is free, and works fast. If you don't have the original hard drive, your options are pretty limited. How are you reinstalling it? Do you have the CD you originally used?