Thank you all for the replies!
@GeekApproved - Ah, forgot the PSU. I've got a Corsair Enthusiast TX750. How would I know whether or not my PSU is failing? I haven't experienced any random shutdowns or anything.
@morgan - I've run several virus scans (MSE and Malwarebytes), and they all come up empty. I can't close CCC from the taskbar, should I just go ahead and force it closed from Task Manager?
@vrumor - I'll do that and get back to you.