Venue in this situation would generally be determined by the domicile of the parties... so either Iberville or Livingston. I would suggest that...

I have a child by a married man, will the wife have to pay me child support since the father is not working

The father of the child would be the party responsible for making child support payments. His wife's income cannot be considered except for...

If the father of my child is willing to give me full custody what can I do? what are my options?

Having your agreement signed and notarized will not be sufficient. A Consent Judgment between the parties will still need to be signed by a judge...