How do I establish a legal child support and visitation agreement?

I am assuming by the nature of your question that you were never married to the mother, and that there have never been any court orders regarding child support or visitation.  If that is the case, you would need to file a legal proceeding in Florida (since the child resides in Florida) to establish your paternity, timesharing and other parental rights, and child support.  The court will certainly give appropriate consideration to the fact that the mother is voluntarily unemployed.  In the meantime, you should be retaining all records of payments you have made to the mother for the support of the child, as well as records of expenses you have paid on the child's behalf.  Otherwise, you could get hit for child support going back back for up to two years.