Yes that is the BCM or PZM as GM calls it, the other 'box' you are referring to depending on its size could either be the amp if you have the 11 speaker option or the Remote Frequency controller, its not very big about the size of a couple of matchboxes. On the last plug, it could be your yaw sensor for the stabiltrak has been unplugged, not very likely as it would trigger codes or one of your third brake lights is unplugged.