Have you tried installing the corsair drivers as administrator? If not uninstall them, reboot and the re-install them but this time right click on the start up exe and run as admin. Once installed pop back into the sound devices particularly microphone as windows will mute the mic by default. I own a very cheap headset but essentially it's a USB connection like yours. Here are some screenshots of connections you can check once it's plugged in:
Go via the control panel to Sound devices, highlight the mic and hit configure:
You can then set up the mic. If the mic is still muted then try clicking on Properties and checking the settings along the top:
Lastly what Sound drivers do you use any idea?