And if you had said all of that from the beginning, you might have gotten a better response! Every post until now, it really sounded like you were looking for ways to get out of responsibility/liability for his injuries.
My original post asked if I should call my insurance carrier. In my twenty+ years of owning dogs a dog bite has never happened and I didn't know if I should notify my carrier or if the driver/UPS should notify them. Instead of an answer to my question I got bombarded with comments like "kill your vicious animal", I'm an "idiot" for using a wireless fence system, be a "responsible" dog owner and put up a REAL FENCE (implying I'm being intentionally irresponsible because I don't have a fence that I'm not legally allowed to have), "blaming the victim," etc. While I do think the driver bares some of the responsibility for what happened I never once said I didn't want him compensated for, at the very least, his out of pocket expenses. And I was willing to do this at my own expense (not insurance). Pain, suffering and punative damages I would have put up an argument about. I never did get a solid answer to the question other than keep my insurance number handy. I did get plenty of advice about what I should do with my vicious, killer, attack dog along with many comments about what a totally irresponsible, uncaring, idiotic dog owner I am. I have two very active, energetic breed dogs who want/need to be able to run. The neighbors beside and behind me both own dogs (the neighbor beside has a Bull Mastiff and a Pitt mix and the neighbor behind me has a German Shepard, a Lab and a Springer Spaniel). We all use the same type wireless system since it's our only option in the development and we all got together to make sure our systems don't overlap. In regards to dog of dog attacks there has never been an issue in the six years I have lived here. But apparently I'm just a stupid idiot for choosing the wireless fence system over chaining them to the ground if they want to go outside and play.
As for the dog in question.... technically I'm not sure what you would call her breed. The father is a full blooded Boxer. The mother is a Lab/Terrier mix. The owners of her parents were told the female was basically a mutt.... Lab/Terrier and who knows what else mix. My vet is also the vet for her parents and she said the pup (my dog) is a Boxer mix and that is what her registration paperwork lists her as. I only refer to her as a Pitt/Boxer mix because I know she has Terrier in her through the vet and I want to be up front about her lineage. She looks like a knee high, 55 pound version of a reverse brindle Boxer. I only mention all this because most people assume anyone who owns a variation of a Pittbull must have went out looking for this specific breed because they want a dog known to be aggressive, mean or whatever. Honestly, I don't know if she has Pitt in her or not. I treat her as if she does (since I don't know) which is why I took her to puppy training when I first got her. I don't know, the irresponsible dog owner part of me thought it might be a good idea. I never went out looking for a Pitt breed or anything like that. I had a male Border Collie and a female Golden Retriever. Our Golden Retriever passed away in the spring of '09. My husband and I had been talking about getting our Border Collie a companion for some time after she died. My brother called me in February 2010 and said his friend (the person who owns both parents of my dog) had a single dog left in a litter his dogs had. It was a female and if they couldn't find a home ASAP it was going to a shelter. My first dog was a Chow that I had no issues with so I thought, with professional training, I could bring this dog into our family and community with few issues. I did all the things an irresponsible pet owner does. I got her vaccinated, had her spayed (she's a family member and companion for my male only... I'm not a mutt breeder) and took her for training because of her uncertain breed temperment. I have monitored her behavior with family, other pets, neighbors and even the neighbor's dogs with no signs of aggression.
That is why this whole issue and how to handle it legally took me by surprise. I guess next time a legal issue like this comes up I'll know to ask how much of an irresponsible a$$hole I am instead of what I'm supposed to do since that seems to be the only advice I got.