Hire an attorney to prepare and file the Motion. It isn't easy to just do it on your own.

Would mother have to send letter of intent to relocate out of state if she was already denied relocating previously?

A lot is going on here. Get an attorney. Whether another notice to relocate is required depends on what was in the first notice. The psychiatrist...

How likely is it that a protective order will be granted if no physical proof is provided?

Physical proof is usually required. Your friend better get an attorney.

Is this considered libel slander or defamation of character?

The truth is an absolute defense. These cases are hard to prove and not many attorneys practice in this area of the law.

Can i go get my child from her fathers if he refuses to return her after his visitation?

Hire an attorney to file a writ of assitiance or writ of habeas corpus.

How can I get legal guardianship of my niece?

Both parents are entitled to notice. The important question is whether the parents will consent to your guardianship. Get an attorney....

Can a non custodial parent keep both children mother is in jail.Father has both siblings father's only one child and only child

You need to hire an attorney to file a writ.

What if it was all a set ups to look like abandonment ?

Abandonment takes a year and is really only a ground for divorce.

Will I have to move back to Louisiana with my baby?

That's up to a judge. Get an attorney to help you.

Question about guardianship/termination of guardianship?

Mr. Louden's comments herein are correct.