I have installed ArcGIS 10.2.2 on a 64-bit computer running Windows Server 2012 R2. ArcCatalog continues to crash at various times, often when it is sitting idle, but usually when I click anywhere in the ArcCatalog window. ArcMap doesn't seem to be affected. I am also getting a message in the windows toolbar "ArcGIS is currently not connected to online resources". I uninstalled and reinstalled ArcGIS and the behavior is the same.
I see in the System Requirements that .NET Framework 3.5 SP1 must be installed - this computer has .NET Framework 4 installed. Is 3.5 a minimum requirement or could this be causing an issue?