Legal Question in Family Law in Florida

You've got a tough choice here. The birth certificate doesn't matter. If you go for child support, he may go for visitation. He may even go for custody, but it sounds like his odds of getting custody are close to nil.

To stop visitation, you may have to terminate his father's rights, which also terminates child support. Your only hope is to ask for sole custody (where he gets no visitation except what you allow) or or supervised visitation (where you or someone has to watch him when he is with your daughter). Of course, you may lose and he may get unsupervised visitation, even overnight visitation. It's the roll of the dice you take.

You should be entitled to up to two years of back support.

You may want to speak t a family law attorney in your area to see how your local judges usually rule on visitation cases like yours. In my area (Tampa), you probably wouldn't have to worry too much about him getting unsupervised visitation.