You still haven't tried an other burning software INSTEAD of Nero which has been suggested more than once. Download a free/open source burning software and test it to make sure it's not your hardware or Nero. I understand you're holding out for the magic "this is how it's fixed solution" but in order to get to that point we need to single out what's the real issue. Reinstalling Nero a thousand times will not get us to that point so it's best to try other options to get our answers.

As far as premiere elements is concerned. If it shut down mid-usage it's a problem with the computer overheating or a hardware malfunction that's affecting more than just Nero.