Hi Visseroth,
You can find Avast Network Shield Statistic in "Security Tab ; Icon “Network Sheild”
https://forum.avast.com/index.php?action=dlattach;topic=199865.0;attach=190892;image
I think you will find what you are looking for in there:
https://forum.avast.com/index.php?action=dlattach;topic=199865.0;attach=190894;imagee
If you moved your machine from an AD (Active Directory) to a new one, you probably have old GPO still in the Workstation.
You need to load the new GPO, from AD, when the machine is connected to the good network (Admin CMD dos command : gpupdate /force
Make sure your machine Network connexion is showing the same name then your AD DNS system.
https://forum.avast.com/index.php?action=dlattach;topic=199865.0;attach=190898;image