I have the same model and finally corrected a different driver/hardware failure involving the fingerprint reader. After a driver update the computer stopped recognizing the reader. I was just about to return to sony for service after trying to uninstall & revert the driver failed to fix it when I found this fix in amazon customer reviews:
Power off and disconnect the battery overnight which will require the system to reload all system drivers when you reattach the battery and power it on.
It worked for me and it can't hurt to try for your issue! I assume you have already used the hdmi output to hook up an external display to then open device manager and open the video display driver adapter and click on the 'uninstall driver' then restart the computer. This should dislodge the last nvidia driver update that probably caused the display settings failure and reinstall the previous version assuming it worked fine before.
Hope you find this helpful and I'd send it back to sony for service if not. Even at this age they're asking @ $1000. for this laptop. I think it's a great computer so spending some on service & repair might be a good investment. Good Luck!