Moderation is probably showing because "Allow User Reports" is enabled in CB > Configuration > Moderation. Messages is showing because you've either "Email Handling" enabled within CB > Configuration > General and/or you've UddeIM PMS configured within CB > Plugin Management > Private Message System. You'll have to disable all of them. The alternative is to just use the below CSS added to your Joomla template CSS file to remove them.
.cbMenu_UE_MENU_MESSAGES,
.cbMenu_UE_MENU_MODERATE {
display: none;
}