I'm going to refuse to retroactively pay damages my pet made to personal property
Why would you refuse to pay damages your pet made?
I believe they are lying about my pet having caused the damages.
You should be responsible for damages caused by your pet. You'd need some proof to back of that claim otherwise.
They have to have proof. I know I have the best dog.
Sometimes even when we think our dogs are well behaved, they still could cause trouble for other people. Do they have hard proof that your dog caused those damages?