If I’m not mistaken, each Wii has its own individual console ID that is used when compiling customs into .bin files. The customs you have already compiled were done so using the old console ID (in the ng_id.txt file), and would therefore be incompatible with the new Wii’s different ID. As far as I know, there’s no way to change Wii console IDs, so you might need to recompile each folder individually with the new ID.
You are about to leave Rhythm Gaming World and access the external songs DB. While no song or file sold for commercially available videogames is hosted there and only fan generated content is allowed, Rhythm Gaming World has no direct control over the database and no files are hosted here. Alright, we had to made you aware of this, now you can visit the database!