A: Nope. It was a National Socialist economy. Like good socialists everywhere, the Nazi's picked the winners, and people were forced to do business with them (Volkswagen, Krupps, oil industry, etc.)
I will grant you that it is possible to have nominal capitalism and political totalitarianism simultaneously (see China). But, that is not the case in 90%+ of the countries in which capitalism is practiced. It is virtually impossible for the two to mix.