I'm not sure about the CM HAF 922?

You won't have any problem about installing any of those parts into HAF 922, because all the computer parts have the standard size. The only concern in installing new parts are size of motherboard and heatsink (all the heatsinks will fit but some with difficulties). Your motherboard is ATX and the HAF922 will support ATX so it's ok. If you are using the Intel OEM heatsink then you won't have any problem at all.