Most things in the Library, you can move around. Others (like the injection morph deltas for DAZ's third-generation Millennium figures) should be left in their default folders.

Number 2:

It's normal. Firefly doesn't seem to like the way the geometry is sorted, for some reason. There's a fix, but it's a do-it-yourself affair with UVMapper or Poser's grouping tool. You can read about it at PoserPros.