No, any chipset(designed for ivybridge) has the support for intel graphics and with dvi,hdmi ports(not all of the mobos), the h77m has three ports vga,dvi,hdmi.
Yes, dual channel ram is faster than single channel.
For four dimm slots, there's the h77 pro 4 : http://www.newegg.com/Product/Product.aspx?Item=N82E168...
There's something about that ram, it's being reported with failures by costumers.
I rather get the g.skill ares ram.
Like i said, the 650 2GB is too expensive, the 2GB is useless in such card, get the 650 ti, it's a better card.
See this : http://tpucdn.com/reviews/Zotac/GeForce_GTX_650_Ti_Amp_...