Dogs are animals, and as animals, we can never really predict their behaviors. Does this mean he will attack kids because of the trauma of the dog bite? Not necessarily, but can we can ascertain this 100 percent? Never, because we don't know how dogs may react when they are stressed. For safety, no cats or kids should ever be around your dog unsupervised, and they should never be allowed to do things a dog might not like, regardless of whether there was a recent attack or not, regardless of breed, regardless of how long the dog has been owned, regardless of size. I am sorry but unfortunately I cannot predict how your dog may react to cats or kids and the cat chasing behavior may or may not be related to the recent dog bite. Many dogs will chase unknown cats if they are in their yards. Every dog is an individual and therefore responds differently to stress. I would definitely have a dog behavior professional asses the dog if you there are any concerns to play it safe.