16 Gigs of ram and a new video card is where I would start. I mulitbox 12 in Eve with an i7 3770k 16gig ram and AMD 6970 card. I upgraded my card to the R9 290 and saw a vast improvement. Don't worry about CPU for now. If you find it's your bottleneck later upgrade. But your CPU should be fine. So you add 8 more Gigs of ram for $70 then buy maybe a $300 video card and call it good.

Also, your CPU is unlocked and they can easily be overclocked. If you have a stock cooler you may want to replace it with maybe a Corsair H80i. Then you can really push the limits of overclocking that chip.