I never noticed Lacis teeth falling out either but they did, Im not sure exactly when , the few remaining were removed when she was spayed at just about 6.5 months old.
I have put my hands in my dogs mouth since she was little and always made it a point to hand feed her here and there, she would never growl at me so I have no suggestions for that, Im sure someone else will come along with answers , however if it did happend I would NOT give her bullysticks anymore.
I would say to make her spay appointment soon, I know my vet suggested 6 months old to spay her.
As far as eating everything, Laci eats everything, bugs , grass, paper towels and she is constantly stealing stuff out of my purse... reciepts, money , etc.. her favorite is ants.. she could spend hours finding and eating ants..I just constantly remove and replace it with something she can chew on.. I guess its just the puppy stage and they do or I hope they do outgrow that phase