You need to have a little sit down with your daughter.
What does she like to do. Find something she loves doing and then play that game with her. Take her for a walk. Go for a picnic. Take her to the park. Play with chalk outside on the driveway, sidewalk.
While you are playing with her. Start talking about the way she is reacting. Why she is hitting people, and being naughty.
Ask her if she remembers seeing her mom being hit & pushed around by daddy. Ask her if she thought that that was the right thing to do. Ask her how that made her feel when her daddy was hitting her mommy. Ask her what she would've done differently. Ask her if she felt like it was her fault.
Ask questions...............
Kids are remarkable creatures. They see things differently then we do. Especially when they are so young. Perhaps she feels she's the reason why daddy isn't there anymore or the reason why he hits you and she's acting out.
Also, our news channel had a clip on violent behavior. Several children had a reaction to the food coloring in their cereal!
There is a book out there called the Safe Shopper's Bible. Every person on the planet shoudl own it and I wish I had stoick in it for all the people that I recommend to buy it! But it shares with you the chemicals, toxins in your products foods, etc.
I can't tell you the feelings that were brought about after researching products on the market for my own health reasons.
It is SCAREY!!! You wouldn't believe the products on the market that are sold in our stores that damage the neurological system!
Anyways,
try talking with your daughter. It's the best way to find things out.
Good luck
J.