Would it cause anything if I get married and change my last name while I am waiting for a greencard?

You may get married. If fact, if you are marrying a US citizen it could only help.

I was charge for2c:20-7 the charge say amended 3is that a felony

What do you mean by "you want to another country". If you are not a US citizen, it is very important that you consult with an immigration attorney...

I was charge with stolen property. I when to court the first time and I plea myself not guilty because I didn't stolen

It is good that you pled "not guilty". The state must prove you took the phone with intention of depriving its owner from the property. I assume...

Could I get full custody of my child?

You could. You would need to file a motion.

You may not move from the state of NJ with your child unless you have either consent or a court order allowing your relocation.

Would I qualify for a green card

How did you enter the U.S.? If you entered lawfully your wife may petition for you once she is a US citizen.

"I am illegal in USA, but I am married with US citizen person. I have a deportation case open and now I want to divorce .

Your immigration status is irrelevant regarding your rights to divorce, equitable distribution and support. An attorney would need to meet with you...

Selected as the best answer

If your child resides with you and goes to school in your neighborhood, absent a custody order it appears you could file a motion for custody and...

New immigration law???

Unfortunately this information is incorrect. It is good that you ask an attorney in order to confirm what you have heard by rumors.

What is the process to recieve my Green Card? Deffered Action, Married.

I agree you may not adjust status with a deportation order. This must be addressed and closed prior to applying for your green card.