If properly cooked, wild rabbit is good and safe to eat, as long as it isn't infected with the calesi virus or myxamatosis, Just check the eyes for yuckyness, and the innards for spots and discolouration.
The problem with rabbit meat is it doesn't contain much fat, and you can suffer starvation symptoms while eating plenty of rabbit due to this.
Maybe not a problem everywhere, but in australia, they are usually very lean, and need extra fats, oils, butter, etc. to cook with.
Nearly all pets are edible animals that just have become so familiar to humans, that they have special status, until you are really starving.
In many wars, people ate everything, even swapping pets to slaughter so they don't have to et their own pet.
Horse meat is common, donkey, guinea pigs, cat, dog, you name it. If you have visited asia and eaten street food, guess what you have eaten. I really mean guess, because you wouldn't know what it was to begin with.