I agree with what everyone is saying about your parents paying damages. This is your house, not only is it now technically not worth as much as it was before, but the longer that dog is there, running around it is going to get worse. You Dad expects you to respect him, correct? Well By God that goes both ways, he needs to FREAKIN respect that this is your house, the one you have worked hard for, the one his little BRAT is tearing to shreds.
Option 1 ) Parents pick up the dog after giving you a fair amount for repairing damages
Option 2) Dog stays, crated , parents pay for damages
Option 3) Parents do not give a rats behind, you take dog to the pound and sue the pants off them for the damages.....
Personally, because I am just redneck enough....... I would go with Option 3
I would never treat my parents property with disrespect and they would never treat mine that way either.
Your Dad, and I know at the end of the day he is still your dad, but he is a Disrespectful Jerk!  He needs to be 
  into next week  !!!!!