Sorry for the late response. Yes, the CPU cooler is the fan on the processor. Those are referring to the individual core temperatures, and those are dangerously high. I sincerely doubt this is an issue with your power supply (unless there's some witchcraft involved here), it's most likely an issue with your CPU cooler being seated incorrectly. The easiest solution to that is to uninstall it, remove all the thermal paste, reapply the paste, and then reinstall it.
Question: Is the cooler the default Intel cooler (looks something like this
), or one you bought and installed yourself?