Pit Bulls are cool little dogs. They can be great dogs if raised properly, and can become great dogs after being mistreated (rehabilitated, if you will). The best thing for the dog in 757's family is for it to leave the family and go to someone who knows how to handle the dog. Please don't put the dog down. Find a Pit rescue and let them take over the dog.
Generally speaking, most problems with dogs are due to the owners being lazy with training, socialization, and exercise. Keep their mind focused on good activities, and they'll be less likely to focus on things that will get them into trouble.