Not so sure it's a BaCH tailpiece. BaCH tailpieces are chrome. This one looks less shiney and less blueish. It looks like it may be nickel. Greco Tbirds have nickel rectangular tailpieces. The bridge posts on this lime green NR II look chrome, while the bridge looks like it has the correct nickel plating.
I think you are right about the decal birdlogo, Carlo.
This bass was put together from parts. Wonder what shape control cavity lurks under the non original control cover.