I will caution against eating rabbits. I consider my dogs to be "meat dogs" I don't mind them finding rabbits when we are out hunting and I used to let them retrieve rabbits. Rabbits will have fleas all year around and I really didn't care b/c I keep flea and tick dope on my dogs year round. The catch is that fleas carry tapeworms and when fleas are swallowed the tapeworm will take up residence in your dog. I found this out the hard way. Now my pups are point ONLY!
As for moles...My pups are also Ace rodent hunters but I just don't risk it and I discourage eating them as much as possible.