K.D.
Hi there! I am a licensed daycare provider in Illinois and have done daycare from my home for 4 years. I have two things to offer.
First, I would get rid of them and I mean now. You are putting the other younger children at risk with these older kids who refuse to behave. There is no way I would tolerate a child going to their friends' house rather than mine that would have done it if nothing else had prior to that. Mom obviously doesn't want to work on the kids' behavior problems so I would terminate immediately.
Second, how in the world are you getting away with watching 10 kids all by yourself without an assistant every day? not sure what state you are in but that is way over capacity for everywhere I know. According to Illinois guidelines you can watch up to three children, your own included, if you are not licensed and once licensed, you can watch up to 8 by yourself and anything over that or if you have more than 3 of the 8 under 2 then you have to have an assistant. Iowa allows even less children in their state guidelines. You had better be careful or you might get shut down for being over capacity and lose everyone. I'd cut my loses with the two boys and call it a day.
Good luck to you! K.