Next time that happens, take every last piece out and clean them individually. Sometimes it can be just the video card, and the machine allows basic but won't boot on over heated card. Could be HDD, memory, CPU, motherboard. I'm a parts keeper, I like to take it all out, rebuild and find bogus pieces, replace and rebuild. And if not, test and keep good pieces for future use!
Your new one - I LOVE the I7, that's an awesome processor and you'll be pleased with the processing power! If me, I would add another 4gig of memory, you're that close, have the full 16! 1 terabyte drive should be more than enough for the life. And that's a great price! I build and sell, and that's about cost for me after build before any testing and profit! Great deal there.
If you need some software, hit me up, I may be able to help.