Personally, I'm not really sure why you did not take compensation for the dead chickens. It really isn't about whether you want to replace them but what you lost. But that's up to you.
I guess I'll never understand why it seems that the owner of the dead livestock, the one who did nothing wrong, always thinks they must tiptoe around neighbors' feelings when the neighbor's dog slaughters their birds. It's apparent the neighbor cares zilch about your feelings, your childrens' traumatic experience losing their pets or the law.
Personally, though this is up to you how you want to live your life, I would have the worst taste in my mouth if I must keep mine shut and always live in fear of my flocks being killed while everyone else just does whatever they please, to heck with what's right and what's the law. But, me, I know that an irresponsible dog owner is the one who trashed the so-called relationship in the first place, not me for asking for them to obey the dog laws and compensate me for my loss. We never, ever let our dogs roam when they were alive, as I feel is the responsibility of every single dog owner to put up fencing that will hold their dogs. If our dogs had run the neighborhood and they were shot for harassing/killing livestock, that would be OUR fault and well-deserved.
As far as invisible fencing, I would not depend on that entirely. It may keep your dog in but it sure won't keep others out. Our next door neighbor did that after getting a warning from us about his roaming dog getting coming onto our property and getting close to our flock. The dog zoomed right through it. Of course, he didn't want to go back through and get shocked again. And you also have to have charged batteries in that collar. If not, it's a useless system.
