I had problems with it and sent it to Sony for repair under guarantee. When it came back (new screen) it had a problem with the battery - it didn't register the battery status.
I sent it back to Sony and got it back again today. Same issue.
Charged to 100%, remove charger, battery indicator showed 100% but within 2 minutes the computer shut down. While it works without problem with AC adapter it defeats the objective of having a laptop. I really dont want to send it back to Sony again as clearly they didnt test it after doing whatever they did to it. I have to re-set up emails and other apps again which is all time-consuming. I even had to buy and re-instal Win 10 as it looks like they swapped out the original Win OS when doing the first fix.
Peter at geek squad support suggested to clean install the windows 10. After doing the same problem was resolved, you can try to doing the same for your laptop heating issue too.