Hello, and welcome!
In searching for potential causes of your first error, I came across this: ModuleNotFoundError: No module named 'jupyter_server.contents' switching to Python kernel · Issue #24436 · microsoft/azuredatastudio · GitHub - which makes it look like you might be facing a known issue with a recent version of traitlets. Can you check what happens if you run the following:
pip uninstall traitlets
pip install traitlets==5.9.0