Go to the BIOS (UEFI) and see if you see the same behavior there. If you do, then it's hardware failure. (Given that half the touchscreen is working, that's what I'm guessing)
To go to UEFI, shut down your Surface. Press and hold the volume-up button on your Surface and at the same time, press and release the power button. When you see the Surface logo, release the volume-up button. The UEFI menu will display within a few seconds.
Good luck!
--Ron