I've always been a bit curious -- you cook the rabbit. Which pesticides (etc) survive the cooking process to the point where you'd need to worry about them?
Most pesticides survive the cooking process. As a rule of thumb, cooking kills most biological baddies (bacteria, worms, etc) and doesn't do much for anything else. If your threat model includes pesticides, botulinum toxin, or a number of other contaminations then you probably need to just avoid that food source, or at least limit exposure.