Alvin, TX Divorce Law Firms & Lawyers

You should ask to be awarded the car that is in your name and specify in the decree that the car must be turned over to you at a specific address on a specific date and time.  Figure out a way to show that she has another vehicle so you can refute her lie that your car is her only means of transportation.  The only other way to handle this so that you do not have to pay for a car you do not drive is for her to be awarded the car and be ordered in the divorce to refinance the debt on the car into a loan in her name.  That is not a fool-proof way to ensure she will refinance, however, because if she does not have good credit, she is not going to be able to refinance.  

If he was legally married to someone else at the time he married you, you can seek to void the marriage through a Nullity action. Since you are the innocent party here (assuming you we're unaware of his marriage status), you are considered a "Putative" spouse and can seek support and a property division from him.

Check with your tax preparer, but the usual rule is that the parent with primary possession of the child gets the dependency exemption, no matter what the state court divorce decree says.