Hello there, we suggest you consolidate all of these points into a single email so they can be tracked properly. Thanks.
Specifically with moderator post approvals, this is not in the core functionality. It would be a custom plugin.
If a person send us a chat message while we are away, 2 notifications are displayed about the message, one in the chat menu and one inside the normal notifications panel?
Chat notifications should not be displayed along with normal notifications. That is why there is a chat notification area, right?
Here is the example from this forum