Judicial Committees are not guided by Holy Spirit. No, they are not!
I worry about your 11-year-old child. For me, what helps with my kids is keeping them active. We go to parks, the library, museums. During the summer it was so much easier because the pool was right there with kids ready to play. Now that the school year is here I plan to sign them up for afterschool activities where they can make new friends. At first I was worried for them because they had so many little friends in the organization. My oldest especially has a best friend whose father is an elder. Our families often hung out together at each other's houses, and into really late at night! They hung out once over the summer because my former friends texted and made plans to pick up my younguns. But, what's great is that my oldest has best friends at her school. No, they haven't had a playdate. (I did try, it just didn't work out). But she's happy with those friends. They talk and they giggle and they play. I don't know if your 11-year-old is suffering because of limited interaction with family....
I understand about being in a family dynamic where there is domestic violence, and you have my deepest condolences. It hurts so much when someone you love chooses to use violence against you. Any type is unacceptable-- emotional, physical, psychological. You have a community here that will listen to you and offer you wonderful advice. Post, post, post!