Hi Dekade, hi folks.
It would be easier having a look at the SKP file to see how the model is made.
I suspect that your woodpieces are not separately grouped or componentised (sorry for that word).
Keep in mind that, in SU, layers are not used as in CAD softwares. They do not separate geometries. They only serve to control the visibility of objects. To separate geometries, you must use groups or, for repetitive elements, components if you want to save in file size.
See attached SU file for ideas.
Textures and rotation.skp