Is it possible to have a class D felony reduced or removed even if you have a record?

My husband was charged with a class D felony and 2 misdemeanors. Third degree domestic battery. I told the police I didn't want to press charges and they said it wasn't my choice that the state was pressing the charges. They also put a no contact order on him. We have a 4 month old daughter that has a brain disease and has to have medicine around the clock. She also has to go to the doctor once a week. I need him here with me to help take care of her. Is there any way to get the no contact order lifted and the charges reduced? I am not afraid of him and I do not feel threatened by him. He was drunk. He has agreed to go to counseling and AA. Thank you.