ASUS laptop shuts down suddenly and turned on with burning smell

I was using my laptop for some typing then suddenly it shuts down.
It was plugged in without battery and fanned by a cooling pad plus a standing fan.

I tried to on it several times but it wouldn't on, the on button blinked without the laptop turned on.

Then I took off the plug and put my battery in.

My laptop can then be successfully turned on but there was plastic burning smell for awhile.
Should I get it checked at the ASUS help center? What happened?

Just before I was typing some documents, I was playing game and the laptop was hot so I put stand fan to fan it directly. Was it due to overheat? Did something burned?

My laptop is K46C and I seldom use it for games, just yesterday and today.

Hopefully you can help and thanks in advance!