Yes, that does look like a UV problem. Try looking at your baked textures overlaid on the UVs in the UV Edit window in C4D. It should show a nice, orderly, non-overlapping surface with the texture corresponding to the geometry in a logical way. With complex geometry it can get a bit tricky, but for your scene, it should be very obvious if your layout has a problem. For example, here are the textures and corresponding UV spaces from that little sample I made yesterday. The fuzzy bits around the sides of the cube texture are padding to help hide the seams where different UV patches meet, and are supposed to be there.
- Basic UVs and Baked Textures
Technical Director - C4D, Maya, AE, - Washington DC