You can easily delete that expired cert from your computer.
This article explains your issue and fix:
If you download the hotfix and install you won’t screw anything up at all. All the hotfix is doing is disabling RSC. You can reverse this by enabling it. I do not know if there is a hotfix for it but with a few commandlets in powershell it is easy to do. You will not see any negative impact by...
By chance are you running Windows 7? If so Microsoft crippled Windows 7 updates in order to push their Windows 10 OS.
I was able to manually install the below list of Windows Updates, reboot and windows update was able to pull up a list of updates in minutes.
For Windows 7 64-bit (x64)...
More than likely you were a "victim" of a hack attempt. If you have RDP port (3389) accessible to any outside IP address this will be the case. Bots will go out scanning IPs for open ports and 3389 is one of them. Once an open port is detected, they will use another script to try logging in.
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