That's what a CPU Support List is. It tells you what CPUs are compatible with your motherboard. Your graphics card and RAM don't care what processor is installed as long as it's compatible with your motherboard.
Yes. Do not buy S or T. They are usually the cheapest listing, i7-3770T etc. Only I7-3770K or i7-3770 or E3 Xeon v2 is good. Speed in GHz will be @ 3.4 - 3.9GHz. If cpu listing says 2.2GHz, it's an S or T model.