PC Crash from getting too hot

yesterday my PC shut itself off once, and like a dumb A#$, I just restarted it thinking it wasn't plugged in properly so it probably just died from low battery.  (I had external speakers plugged into it and was listening to music on it while I was doing other things in the office).   It rebooted fine, but then crashed again.  It now will not even turn on.  (I have removed battery for 30+ minutes then re-installed battery and tried again and still nothing).  My question is I guess two-fold 1) I noticed it seemed to be running hot lately, if anyone was to take a stab in the dark, do you think that may have been the issue  2) If that was the issue, what is the prognosis?  Have I lost any data not backed up?  The PC was approximately 2 yrs old, is it worth it to have it fixed or should I just invest in a new one?