Is there any penalty for falsely having someone Baker Act'd?

yes, making a false report

My wife is in the army, she wants a divorce will i get base access with our daughter in the on base cdc? Do I get base access?

yes you should be able to maintain those privileges

If i had an outstanding back child support in 2011 up until Dec 2011, am i able to claim my child on my taxes as agreed upon?

If you are caught up on support then yes you can claim the child.

You have to file a probate proceeding and have him declared the biological father in that proceeding.

What are the requirements on moving my 4 month old daughter out of state away with me?

You have to get his written consent or a court order before moving.

Do grandparents have rights in Florida?

Grandparents have no rights in FL they will lose.

My son was placed with the state after his mother was arrested. He is a year old. They live in North Carolina and I live in FL

Contact a lawyer in NC.

Can I get a passport to my son?

yes you have to get a court order or written consent from your ex.

Can I serve my wife by notice of publication which take the place of process service? She will not tell me where she lives.

yes you can publish notice if you cannot find her.

Overpaid Child Support which the state collects, does not go to child. Possible to get money back?

Just file a motion with the court to fix the arrears. "credit damages" you have no case you will lose.