...to see if it's simply a case of fans that don't work.. Start with the CPU fan.. If the CPU fan runs correctly after replacement, then replace the other fan.. On the other hand, if by the "case fan" you mean the power supply fan, then I would start by replacing the Power supply first and see if it fixes both issues. In addition, while you're inside the tower, be sure to use compressed air to blow the dust and junk aware from processor, power supply, heatsink, and all fans.

Hope this helps.

Grif