Seems like the PC is failing to POST successfully. From the issues you’re having specifically I’m thinking it’s a CPU problem:
* Check to make sure all power connections are made correctly and securely including the CPU power connector.
* Check to make sure the CPU is installed corrected and securely into the slot and that the motherboard wasn’t damaged during the installation of the CPU cooler.
It’s worth cross checking your parts to make sure they are all compatible with each other. If you are able to list them here we can help check that as well.