In your Task logs you are seeing the error Unable to find server "ConnectionServerName" on the network.
Connection server is not online or a valid connection server.
Verify that the connection server you have specified is up and running on the network. To find out what connection server you are using follow the steps below.
1. In the MessageStats console Expand Exchange Organizations
2. Right click on your Organization name and select properties
3. Click on the connection server tab
4. Change the connection server to a server that is online.