1) 3DC_PbTex01.jpg: Face textured with brush + face coordinates. In UV remap, nothing is selectable. To make the texture outline selectable, it is necessary to add some edges to the face.
2) 3DC_PbTex02.jpg: Shape textured with UV map + face coordinates. The circled face is not correctly textured. Using UV remap after selecting the face, you see what should be displayed. At step 3, using extrude makes the face correctly displayed.
3) I’m sending a sample with the 2 shapes. The file was made by removing shapes. The file is as big as the orignal file.