1)To get rid of the first message, you need to connect at least 2 physical nic's to the virtual switch that the Service Console Portgroup is connected.
2)In the vSphere Client, select the ESXi host, go to Configuration > Security Profile > SSH and stop the service
If you can't add another network card to the configuration or have to have SSH enabled, then you have to disable those warnings in Advanced Options/Settings. The latter will be for each ESX(i) host.
Hope this helps!
If the mgmt network has redundancy, try moving 1 nic to standby/ unused and then check if the message goes away. Also what load balancing are you using for nic teaming? is it "based on originating id" or "IP Hash"? Try using the first one (default). Move the nic back to active and check if the error goes away?
Also go to the tasks and events tab and check if u find anything happening there under events?
Thanks - AG