I recommend you to get rid of the Corsair CX PSU - http://www.overclock.net/t/1431436/why-you-should-not-buy-a-corsair-cx
XFX does Seasonic rebrands with extra warranty (5 years), I myself use a XFX TS 550W (which is enough for my i7 6700K which is at 4.2Ghz on all cores, 2TB HDD, 250GB SSD, 16GB RAM and an overclocked GTX 970 Gaming G1).
If you need a little bit more power to be on the safe side (1080 TDP is close to a 970) you could try getting a XFX TS 650W or a similar model. If Seasonic is cheaper, then by all means go with them, since XFX is only rebranding them (XFX was cheaper in my country plus more warranty).
Just please don't get the Corsair CX series!
With CPU coolers, it goes down to how much you want to spend. Hyper 212 Evo (the US version, the EU one sucks), Scythe Katana 4 are good budget candidates, but there's many more options