I use an Ideapad y500 (You can get a y510p), and it's absolutely amazing. It's incredibly fast, and the new y510P supposedly has great battery also. It also has everything on your list.
There is no DDR-5
Yes there is. It's used in almost all modern graphics cards.
Processor needs to be at least 3.0 Ghz these days
In a laptop? You're dreaming. You want around 2.4 Ghz.