There are many different breeds of ducks and geese. Some do better than others in gardens. In general, they will trample or eat small plants and eat leafy greens, vegetables and fruits. Weeder ducks were developed for cotton and tobacco and older corn, none of which they like to eat, so the young weeds were tasty compared to the crop.
If your fowl are only protected by a five foot
fence, it is only a matter of time before predators attack. They need secure housing or a livestock guardian dog 24/7, or both, depending on your predators.