At first glance I'd say problem with face normals. If that's the case, when you're in Edit mode check the Shading/UV tab on the left hand side panel, select all the faces and click "Recalculate". In a general manner, if you set the shading of an object as "Smooth" and you see weird shading artifacts, Face normals is probably the issue. Btw, even for test renders maybe it would be beneficial for you to make a lighting rig in order to get a better illumination of the rendered objects. I think right now you may only have the ambiant lighting from the grey background and perhaps the small light you get upon starting up.
EDIT: - On second glance I'm thinking of a z-fighting problem, which can surely be worked out (let me know if you'd want tips for that issue). You may have problems with the camera clipping distances. Although I don't really know why the face object wouldn't render selectively.
In any case, it's often hard to judge if you can't see how things are within Blender. I can be available to take a look at your file if you wish to.
EDIT- EDIT: At third glance it only looks like the face object is not being rendered, but the other objects are rendered as if the face was present. Maybe it's simply in the properties of the face object.