Well you should have your data files backed up. If your drive is failing it not going to better only worse. You have corrupted files because they had parts of them written to bad sectors and that part of the file is lost.
Get yourself a new SSD for your OS and a hard drive for your data. You'll have to clean install see this thread for how to do that.
http://rog.asus.com/forum/showthread.php?76993-Guide-How-to-install-windows-8-8-1-10-The-proper-way-... Asus Support Downloads for your hardware drivers you should have these downloaded before you start the clean Install.
There are data recovery tools you can purchase to attempt data recovery I haven't found them helpful for recovery after a hard drive crashes Goggle is your friend about these things. A Good back up scheme is best if you have data you don't want to loose. Any hard Drive or SSD is subject to crash at any time, Warranty will replace the drive but not your DATA
I think is you want to use the Asus Warranty you will have to ship your notebook to there repair station
https://www.asus.com/us/support/ or Goggle it for your country
G752VY-DH72 Win 10 Pro
512 GB M.2 Samsung 960 Pro
1 TB Samsung 850 pro 2.5 format
980m GTX 4 GB
32GB DDR 4 Standard RAM
Z97 PRO WiFi I7 4790K
Windows 10 Pro
Z97 -A
Windows 10 Pro