Your sword appears to be a textbook early Peter Daniel Krebs example:
I'll address two if your points since others have already been hit upon.
Light weight: These swords are lightly constructed so by their nature that won't have any substantial weight to them. None of the swords built during the 3rd Reich were meant to be anything other than decorative so in general none of them have any real heft like earlier swords meant to be carried into combat.
Blade finish: It's been my observation that SS/Police sword blades have less than perfect finishes with lots of remaining tool marks and scratches. Why this is so is anybodys guess and is generally not the condition of other entities swords.
Jim