Yes it is all compatible although I don't have time right now to modify your MOBA and CPU to better fit this generation. Although if you wanted to stick with what you currently have, you have a great machine!
Also Microcenter is in-store pickup most of the time so you can change your processor if you need to. Newegg has a nice combo discount on it.
Phantek has some great fans and this should create better airflow for you. If you want , consider going with a single rad water cooler, IE Corsair H80 or something.
What would you recommend for a different case and power supply?
The reason for that is when I built my first computer and was looking into grabbing a full tower; there were many reviews on crappy cases. I have a Cooler Master HAF932 at the moment. I love mine without a doubt, there are just some brands of certain things I would not buy. I love Corsair, Antec, Cooler Maser, and Lian Li cases. Also with the power supply, I've gone with PC Power and Cooling and it turned out bad. They were a unknown brand at my time of purchase. Fan stopped working anywhere in the last 2 years. I currently just bought a TX850M for my new build I just did. Seasonic I heard is ok as well. Just make sure it is a Single rail and you should be fine.