Who should have to pay the flight costs to get the children back and forth to see her, since she created the distance?

Typically the person who moves pays the airfare. Use of a lawyer is recommended.

Is there a way around hearing?

You still have to go to the hearing so the court will confirm the agreement.

Would really like some advice on if I can get reimbursement and how I should go about it?

File a motion for reduction of the arrears payments. Set a hearing with the Court. Use of a lawyer is recommended.

A UCCJEA Affidavit is required in every case involving a child or children.

Where do I look for an attorney that will truly put forth the effort and integrity to reunifiy my son and I and serve justice?

If you are not satisfied with your current appointed attorney then hire a private attorney.

Are there any laws that may allow a married woman to demand legal access to money she earned that has been taken by her husband?

It is simple to file for divorce and have a qualified attorney help you. All the things you seeks help with can be resolved in family court.

How can I get this situation handled

I recommend that you retain a lawyer to assist you with your case. ...............

Will changing her last name change anything as far as tax returns together, health insurance (she is on mine) is concerned?

It will have no effect on your taxes.

What i need to do or prepare myself to show judge he is lying abt his income,how can i proceed to keep the house,sell it ...

I recommend that you retain a lawyer to assist you with your case. You have to prepare.

Can she leave state with the child if we have not been to court

She is not supposed to leave the state. I recommend that you retain a lawyer to assist you with your case.