Dell laptop rare BSOD or Unresponsive keyboard

I've observed this happening most of the time when the power cord is plugged in to my Dell i5-3567 and rarely on battery.

The only modification I've made is replace the 1TB Sata HDD with 480GB SSD SATA, Rest of the specs are same.

The keyboard doesn't respond. I have to use the scroll pad and hit the Sleep/Restart to make it working.

Sometimes the screen freezes and brings up BSOD error driver failure .

All the drivers are up to date and recently BIOS even got an update. WIndows OS is also up to date.

Any clue how to fix this non-sense?

Haven't gone through the memory dumps.

Yes, It was clean install of OS.