Yes, but he is not a cabinet member or minister. This criteria specifically rules out parliamentary members who are not part of the ruling cabal, whatever form that takes. Otherwise you would be getting literally hundreds of thousands of nominations every year from the many hundred governing bodies around the world.
No.
When they say Members of national assemblies and national governments, they mean either and not that you have to be both. In Norway, and I assume many other countries, you can't be both.
It would also exclude USA, as you can't both be a member of Congress/Senate and be a member of the president's cabinet.
And they do get lots of nominations. So far this year, they have 318.