The Contour cameras

seem to meet most of your requirements.

http://store.contour.com/ae/us/cameras/icat/cameras

Wrist-mount remote appears to be missing, but the big sliding switch for start/stop recording seems to make up for that.

A good addition - not on your list - is the GPS function so when you are in the middle of nowhere, you still know where you were when the video was captured (in case you need to return).

The Contour2 has an external mic jack to which you can attach a clip on mic for improved audio quality.