if you dog is kept outside, it may be hard to disprove your neighbors allegations unless you have outside video surviellence that can prove otherwise. Given that your dog attacked their dog, even if on your property, I would suggest getting a fence or kennel, or better yet keep your dog inside unless supervised.
I am licensed to practice law only in Illinois. Any advice that I render is for general information purposes and does not create an attorney-client relationship. Also it is very important to keep in mind that all legal claims have statues of limitation to file that cannot be missed. A local attorney should be consulted to learn the time limits applicable to a particular claim.
The least expensive and easiest solution is video surveillance and a secure fence. Most places in Florida have leash laws and you should not leave your dog outside unattended. To think that your dog would "never" go off property is naive. Even the best trained dog will disobey at times.
What does animal control say or do when they come out?
If we do not have a signed fee agreement I am not your attorney and this is not legal advice.
I agree with my fellow attorneys - fence your property, put up video surveillance, and keep your dog inside as much as possible.
This is not to be construed as legal advice. I do not have an attorney client relationship with you.