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Can you check if the same issue occurs in safe mode ?
Every now and then I do encounter kind of similar issues, not sure but I think the fibre on the inside (SCR10) is so soft and it touches the screen and if the display is on, it will be recognized as touch.
One answer might be that having double tap to wake active (I do have it too) might be the cause.
You may need to perform a software repair using PC Companion.The process will erase all internal memory.You might need to charge your device for about 1-2 hours before so the device has at least 80% battery.
Make sure the device is not connected to computer or laptop and turned off (sometimes you have to press power button and volume up until the device vibrates 3 times or on some devices you have to press the small button near the SIM tray or on the back of the device).
Open PC companion->support zone->phone/tablet software update->repair my phone/tablet blue highlighted.Follow the steps given,do not connect your phone until prompted to press volume down while plugging USB cable. If PC companion does not start the repair process, you might need to run it in compatibility mode with Windows 7 (in some cases XP).
1. internal is internal storage.
2. if you are rooted, you might be able to use titanium backup to for your apps and data.
3. I don't think that is how it works.
4. PCC might not install because of modified firmware. You can check however.