zoom h5 multi track inputs dont come up in audition

If you click on Settings (next to Device) what does it say there?

*update* I've just tried to update everything about my Zoom H4N, including the ASIO driver. And now it gets weird... It doesn't come up as a multichannel driver, and it won't work at all with the current version of Audition - just says that there are no inputs available. But if you try use it with Audition 3, it works fine. Now, the H4N should show up as a four-channel device, but there's no way it does that. I currently have no idea who's fault this is - Windows, Zoom or Audition - could be any, or even a combination. One reason for me being a little suspicious about Zoom is that with a Sound Devices Mixpre-D, the ASIO driver works fine with the current version. Currently there are too many variables to be able to establish what's not happening correctly, but I would have thought that initially, it's worth attempting to get some feedback from Zoom about this. Chances are that they'll do what every other manufacturer does - and blame everybody but themselves, but it's still worth a try.