REALLY hard to critique you. I guess I've never heard of a test held this time of year. I think it might have been more appropriate for an in-stable schooling show, where you could plan for everybody to warm up in groups...ANYWAY...
YES, you BOTH look cold. Don't know, BUT, pay attention when you school to your horse's tail bc it telegraphs minor disobedience. I didn't see much of that in the video, only the halt was on the forehand. I thought he was calm and obedient throughout.
If you can, check out "Dressage Symposium." RFDtv is showing replays of this right now. www.rfdtv.com/shows/equine/us_dressage_symposium/Cached
In one show Robert Dover is demonstrating on a (grey) horse who hasn't been warmed up and makes some errors.
Michael Poulin makes an awesome comment about how we don't praise our horses enough, and we should start paying attention to punishment vs. praise--I agree with that.
I think the only real critique I have is that I wouldn't attend a test with a warmup ring that resembles a hockey rink.