You need to find out in your states family law if she has 30 days to give notice after the move. It doesn't have to be in the court orders either. The reason being if she is evected then there may be no way for her to give notice before the move. Child support is much the same way. It is late on a given date but not legally late for another 30 days.
It sounds like your unsure that what did happen in the house was abuse so you need to wait until more information is found out on that also.
You do not want to go into court and look like you are just being unreasonable. I understand you are concerned for kids but you have to have patients and a lot of it.