FLS-
have you ever seen the shows on tv where dogs/cats even wild ones like wolves and lions and tigers attack their prey? Well domestic dogs and cats are from them so what makes you think they would play with a rabbit. Please don't put Lady and Floppsy in the same room!
We had our dog growing up kept every type of rodent and small animal away from our house. We didn't have any mice, rats, birds, rabbits, cats, nothing.