Finally had a rabbit just outside the fence of one of my two households. One of the Child Sims watched it and gained a tiny bar of green with it. I've yet to figure out just how to get Errands. I also learned what looked like a racoon, is really another type of fox. I don't like foxes, but I've got two households with the wild fox challenge. I hate the music that comes with it, as it took me a bit of time trying to sort out just what had gone awry. Finally saw a popup letting me know a fox was on the prowl. I sent a Sim to scare it off, but it managed to get into the house! Before I could figure out just how to get rid of it, (the action was gone on scaring it off), he suddenly left, thanking them for letting him hang out. Face/palm. I may have inadvertently made a friend, which can be good, since once your Sim has such a relationship, that fox will be useful in scaring off other foxes and if I read it correctly in the Lessons, won't attack your farm animals.
But, yeah, rabbits have been on the scarce side in my game. Perhaps because of the wild foxes that abound?