Without any groups or components "named" that is impossible mission! 😄

here with your files you can't separate automaticaly anything (except by individual face) easily except by hand for make separated volumes!
So not very handy!
Transform each face in component by Tig
Select all faces and open the ruby Console put this text - Enter

m=Sketchup.active_model;n=m.active_entities;m.selection.to_a.each{|e|(g=n.add_group(e);g.to_component.definition.name="Face#1")if e.class==Sketchup;;Face}

It would be easy if you did it right. But it is a computer program and GIGO applies.