Am I legally responsible to pay emergency room copay for my daughter who was a minor when I provided hospital with insurance

Yes, you are legally responsible for the co-pay. However, you can seek reimbursement from your ex-husband, based on what your Judgment of Divorce...

Can I Cancel my gym membership?

Depends on the membership contract's language on cancellations.

On what grounds can I be arrested for not providing my personal info to my ex-wife's law firm? how long of a sentence can I get?

If you fail to comply with a Court Order. But arrest is unlikely. I recommend that you retain an attorney.

I filed I-130 for my brother in Syria on 6/2003, with the civil war going on there, what can I do to expedite his petition?

I agree with the answers given by my colleagues. To seek refugee status is the best way.

Can the court force my ex to tell where the money is? Can his tax returns be subpeoned?

I agree with the answer provided to you by my colleague. You need to retain counsel immediately to deal with this situation.

I agree with the answer provided to you by my colleague. She must obtain a Court Order to allow the removal. You need to retain counsel immedately.

I have a will. I am going on vacation and do not have time to go to my attorney. I would like something changed in my will.

No!

How do I stop custodial parent from forcing my two 14y old daughters to drop out of school so they can babysit her other kids?

You need to retain an attorney and possibly seek termination of parental rights. I recommend that you act with extreme urgency,

Can you leave a babysitting job if you have a contract that doesn't state the length of years you were hired for?

I agree with the answers provided to you by my colleagues. Yes you can!

My employer terminated me because they claimed that I lied about my marital status, my family and my work status.

I agree with the answers provided to you by my colleagues.