You need to try every possible method to access the Repair Mode before it even gets to the lock screen, as shown here:
https://www.tenforums.com/tutorials/2294-advanc...
Since the most common way is to shut down the PC three times by holding in the power button, try that first. If it doesn't work then try any other methods in link above you can access.
It may be necessary to create bootable media on another PC to access Advanced Startup Options or do the Clean install. You can always boot media by following the steps I give, and if not I will help you troubleshoot to get it booted one way or the other. Not once in 10 years helping thousands of people do this has anyone not been able to eventually boot media to repair, Reset or Reinstall:
To create Windows 10 Installation Media on another PC install Media Creation Tool and follow the directions here: http://windows.microsoft.com/en-us/windows-10/m.... Uncheck the box for Recommended Settings to choose the exact version and bit rate for the target PC only.
Insert media, boot it by powering up PC while pressing the BIOS Boot Menu Key: https://www.sysnative.com/forums/hardware-tutor...
If the media won't boot you may need to enter BIOS/UEFI Setup (pressing key given in chart in link above) to turn off Fast Boot or Fast Startup first.
Choose the boot device as a UEFI device if offered, on second screen choose Repair Your Computer, then Advanced Troubleshoot Options, then System Restore, or the new Uninstall Updates button. If that fails go back to Troubleshoot Options to try a Reset.
If that fails choose Install Now, then Custom Install, then at the drive selection screen delete all partitions down to Unallocated Space to get it cleanest, click Next to let it create needed partitions and start install - this makes it foolproof. Everything needed to get the best possible Clean Install is here: http://answers.microsoft.com/en-us/windows/wiki.... It is a better install than any amount of money can buy and a great learning experience that will make you the master of your PC because you will learn what works best and how to apply it with your own hands.
If you have files that aren't backed up you can use the same bootable media to try to rescue your files using these methods: http://answers.microsoft.com/en-us/windows/wiki...
I hope this helps. Feel free to ask back any questions and let us know how it goes. I will keep working with you until it's resolved.