IANAL, although I was advised that if my W really felt that I was an unsafe parent, then she should not be allowing my kids to stay with me (and vice versa). Your W may be implicating herself by allowing your S to stay with you if she really thought she had some legal case.
I want to continue to stress this, although I really do agree that you should seek legal counsel.
Is there any way that you can communicate with your L that you DO NOT wish them to contact your W's L regarding this. That you are simply providing them with information that your W has stated to you.
If she can't get you to react to her threats (the initial one being that she is taking your S to SC and has already enrolled him there), then she is going even further to get you to react by implicating you as some sex fiend and even a miscreant and child abuser.
I implore you to do what ever you can to not allow feedback to get to her that indicates you are reacting to her attempts to get you to show a "bad side".