Can you appeal a case against animal services for dogs being accused of killing domestic animals?

We currently have 4 big dogs on the property, one technically is not ours, he randomly showed up one day and comes and goes. But all of our neighbors have accused all of our dogs of killing their chicken and have stated there are witnesses who know our dogs have Gone onto our property. However, when we moved here our smaller dog was attacked in the middle of the night which is why we brought a bigger dog onto the property, which we’ve had at least 8 years with no issues. She has never attacked anyone befor, she packs a big bark but it’s all for show to scare off intruders. Even the mail lady is ok with her. We put up gates because there were other dogs coming into our property and yet in this area there a lot of strays and yes brown dogs at that that look like ours. But for some reason ours are being put to blame. I even have videos of the dogs barking at pig that constantly comes onto our property but doesn’t kill it. Hence why I find it hard to believe.