Hi,
1.Have you patched the server with latest update? It will help to fix some known issues.
2.Please try to perform clean boot and verify if any third party tools or services will impact the black screen issue.
3.How did you remote to the server? Via built-in Remote Desktop Connection (or mstsc command) in windows clients or some other methods?
4.For remote connection via Remote Desktop Connection, kindly check if any errors have been recorded in the event logs.
TerminalServices-RemoteConnectionManager and TerminalServices-LocalSessionManager logs to view information about connections.
Step 1: Press Windows+R to open the Run dialog, enter eventvwr (or eventvwr.msc) and hit OK.
Step 2: Navigate to Event Viewer\ Applications and Services Logs\ Microsoft\ Windows\ TerminalServices-*
Reference links:
How to perform a clean boot in Windows
https://support.microsoft.com/en-us/topic/how-to-perform-a-clean-boot-in-windows-da2f9573-6eec-00ad-2f8a-a97a1807f3dd
How to use Remote Desktop
https://support.microsoft.com/en-us/windows/how-to-use-remote-desktop-5fe128d5-8fb1-7a23-3b8a-41e636865e8c
Hope this helps and please help to accept as Answer if the response is useful.
Thanks,
Jenny