When you say "pushed" it, do mean letting it get hot? If so do you think the adhesive used to hold the Surface together gave out?I'm sure if I never (pushed) the machine I wouldn't have had the squeaky screen issue. It's not coincidence it happened on 3 different ones. I baby my devices so it wasn't that I was being rough. I have a surface pro 3 right now but i'm debating returning it and just waiting till next year and see what devices come out.
I have pushed my SP2 playing games, while it has never shut down the area near the power switch does get pretty darn warm.