I think the song-activated doors could be explained as something Rasmussen included in the scenario because it is the kind of thing that happens in these sorts of scenarios. It doesn't need to make sense, just retain the attention for long enough for the electronic signal to embed itself in the viewers brain. It's a mediocre fanfic move again. The problem, of course, is that bits that can't be explained away as Rasmussen creating a mediocre story (e.g., the Doctor quoting Shakespeare which was outside his control) happen as well, so there is no clear delineation between bits that don't make sense because Rasmussen couldn't be bothered to make them make sense, and bits that don't make sense because the writer/production team couldn't be bothered to make them make sense.