MacOS shutting down after password and loading screen, safe mode not working
Looks like something critical to booting is toast. You'll likely need to reinstall macOS. Start by simply reinstalling, but not formatting your disk (all your settings and documents will remain intact):


Shut down your Mac
Press and hold CMD-R while powering on your Mac, hold until you see the Apple logo or a globe
Select Reinstall macOS and follow the instructions given.


If this does not work, try using Internet Recovery, which downloads the recovery launcher instead of running the partition. Follow the same process as above, but use the CMD-Option-R keyboard combination when starting up, and hold until you see a globe.

I doubt the issue is with your user account, since your recovery mode isn't launching-- I'd make that your first priority and consider taking your laptop into the shop.