Can I sue the city for giving me a false citation for a dog running loose when I did not even have the dog at the time?

A couple of years ago, our city made us take down our fence. We have a small dog. A few years later, a neighbor’s Pitbull attacked the dog, in our yard, and we were cited $100. Sadly, we gave the dog away. A few months later, when we no longer had that dog, the city mailed us a citation that specifically stated that an offer saw the dog running at large, and cited us another $100. Also, the Pitbull attack was also the cities fault for making us take down the fence. Needless to say, I hate the city and want to sue them for as much as I possibly can. I have all the papers that the city has harassed me with, as well as recordings and pictures on my smartphone. Do I have a good case?