Playing the ArmA 2 DayZ Mod i got nearly run down by a Horde of about 12 Rabbits once in the Forest near a City... quite funny in Comparison.

Yes they are. Sometimes you can even see a rabbit. Many times, while I was camping, I would hear footsteps that would scare me out :) It would 90% be rabbits. As they are really small, you can't see them in grasses.

Anyway, craft a snare trap, deploy it in somewhere, go away and spend some time somewhere else for 15-20 minutes, and if you're lucky a rabbit will be there. If the wire in snare trap is bent and there is no rabbit, it means the rabbit managed to run away.

i found are rabbit and caught him, he was empty but he exist! And today i saw a cow and a deer both running away from a Zombie how hunt them, looks funny ;)

Fishtraps and Snaretraps are both working properly. You just need to be patient and spent (eventually) a long time waiting to catch something. Chicken are not in the game (as far as I know). The only thing from chicken you can find are feathers, which are used in crafting improvised arrows in combination with sharpened sticks.

Chicken are in the game as well but they spawn in very limited spots and as they can't outrun players and zombies, they get killed by the zeds most of the time.

Rabbits do exist. I saw them before. Generally in fields with tall grass so you just hear random hopping in the grass. You might not even see the bastards because of how small they are.

I've recorded this just an hour ago. Came across a chicken. Thought you would like to see ;)

http://www.youtube.com/watch?v=_rIkR7tQE70&feature=youtu.be

Yep, we checked and the animals are in. They can be a bit sneaky though :).
Regards,
Andy