Help with shadows that are moving when they shouldn't be

Cropped screenshots are almost useless when it comes to diagnosing problems. Camera Tracker does not add keyframes to anything but the camera. If you place a light and a layer in the scene to cast a shadow and the light does not match the position of the light source in the original scene then the shadows are going to move relative to the shadows in the scene when the camera moves. That's just simple geometry. If you rotate the text the shadows are going to move. Camera Tracking gives you the opportunity to stick 3D layers to the fixed geometry in the scene. Making these objects accurate move within the scene as they would in real life is extremely difficult if you have not established an origin and ground plane and accurately oriented the object to the X, Y and Z axis of the original shot.

My guess is that you have not set an origin and ground plane, precisely lined up the orientation of your text layer and that the light is not in the same relative position as the actual light in the scene. A full screenshot with the modified properties of the layers giving you problems would help. Just press the U key twice, PrintScreen and paste to the forum. In your sample rendered footage it is obvious that the light is not coming from the same direction as the light in the scene and that it is way too close to the text object. Any animation of the text layer will also move the shadow. I would use parallel light instead of a spot light or move the spotlight a long way from the text layer and behind it and to the right.