Never heard of the case before, but if you want another recommendation for a case the NZXT Phantom is awesome, and so are some of the cases Corsair and Fractal Design produce.
If you want the i7, get a 4770K so you can overclock it later on, but if this is for gaming I'd think about getting an i5 4670K instead and then getting a better graphics card. The 670 is great, make no mistake about it, but it's been replaced by the 770 and 780 now. I reckon if you got a 4670K you could definitely afford to put a 770 in your system, possibly even a 780. A 4670K with a 770 or 780 would perform better in the vast majority of games than a 4770/K with a 670.
The CPU comes with a cooler a bit like the one you listed, so don't bother buying another one. Aftermarket cooling and liquid cooling is good if you want to overclock. I'd recommend getting a K-series processor now (i5 4670K or 4770K) even if you're not interested in overclocking because you might be in the future, then when the time comes you can just buy a better cooler, stick it on, and then overclock easily.
850W power supply is overkill, you could get away with a good quality 650 or 700/750W. I'd only get the 850 if you're planning on getting multiple graphics cards at some point or if you intend to keep the PSU for a long time (but systems are consuming less and less power these days).
RAM wise you want DDR3 1600MHz or faster. 8GB (2x4GB) is enough. If you're going to go 16GB get 2x8GB.