@GalacticGal errands are under the friendly social when talking to a Sim with one of the town roles (the bartender, mayor, grocery stall owner, etc.)
As for the bunnies, it seems more of them show up after making friends with one. I’ve had a lot of luck gifting them eggs, produce, and flowers. Once you have a bunny in your relationship panel, you can click their picture and it gives the option to move the camera to that bunny, making them super easy to find again.