I have 2 machines windows 10 pro that suddenly have stopped working? If you try to open any shortcut on the desktop for internet you get this app has been blocked by your system administrator. However, Nothing is blocked I am the system admin and I would have blocked it. We did import an xml file for IE and We did lock the task bar but that has been turned off. This is a mystery and now I've discovered that system restore is turned off too. I'm not sure what's going on here... If anyone has any answers please let me know.
Do apps open for the start menu? You mentioned only shortcuts from the desktop snf the internet. That's a rather eclectic set of failures. May not be a coincidence if IE is your default browser snf you imported an IE xml file.