First of all you are NOT a bad Uncle/Dad! You were looking out for Sophia's best interest and I think you swatting her was out of fear for her more than anger that she didn't come to you or drop the bone. I would have freaked if it was Jazzie and would probably have done the same.
I know it's tough keeping track of 2 Yorkies and you had 3 kids to keep an eye on!
I'm just so glad and relieved Jack did not get hurt. How observant, smart and devious he is! I would HATE for you to have to leash the kids! Why can't people take care of their trash???
Is it possible for you to reward Sophia, Jack & Eddie when they find bad thing and give them something better? If they know they get something super yummy maybe then you can keep them safe and pick up the bad things.
I hope you don't have to leash them, that would be such a shame.