Sportiva

Yes

If you plan to use the PC for school and light games the 6700k is overkill, I'd do what @Carlos1010 suggested and get a cheaper processor. But if you really want the 6700k the iGPU should be enough to run those games at decent frames, just ensure your motherboard has video outputs.

What are the specs of his PC?

Change the CPU to a 6600k unless you need the extra threads for rendering, Change the SSD to a 850 evo if you can squeeze it in, Grab a Air cooler instead of that Water cooler Wait on the GPU until the RX 480 comes out

Tier five is the worst you could possibly get while tier one is the best. In your case i would get a Tier one 700 Watt PSU.

If you really care about air flow the Mastercase pro would be much better than the H440, However my system OCed doesn't have any temperature problems and thats with stock fans.

Well you plan to get the cpu at the end of the year and the gpu in about a month, you'll still be stuck with a pentium and a high end card that will be bottle necked to shit for about 6 months. 11/10 plan IGN.

IMO get the processor first then Gpu as the Pentium will still bottleneck the hell out of a 1070.

Sell the cpu and cooler and buy a i5, and it shouldn't tank as badly. If for some reason you want to keep the cooler and cpu try to use Nvidia shadow play.

Its most likely a safety so that no one fries their processor, If you must have 0 RPM on the CPU (Not Recommended unless you have a big ass heat sink) you could try to control the fan in the bios, If that doesn't work plug the cpu fan into a case fan header and tell the bios to ignore the Cpu fan, then you should be able to set it to 0 RPM However if you do this make sure you dont always have it off.

Yes the EVGA 960 SSc does have a Eco mode where the fan won't turn on until over 60c

Sounds like Tek Syndicate,

Im assuming you meant 960 not 969, in that case its a good entry level card. However your motherboard and processor are not compatible. the processor needs a LGA 1151 socket while the motherboard is LGA 1150.

What CPU do you have and what games are you playing?

It looks rather good, However a 390 will be better than a 970 in most cases unless you plan to use some of Nvida's special features.