Your expectations are a bit high for your budget of $1500.
You'll have to either increase your budget to get those high specs, decrease those specs, or like sizzling said, get a cheap one for school and build a nice desktop for gaming (the best choice).
http://www.amazon.in/Technica-ATH-M20X-Professional-Over-ear-Headphones/dp/B00HVLUR18/
The M20X's are pretty much the best you can get for your money, especially in this price range. I have a pair of these and they are nothing but awesome.
^^^^ +1
The Lenovo is much more worth it, and it's not even refurbished. Better screen, SSHD included, better GPU and better CPU. Hands down a better choice.