custody, paternity

florida:

girlfriend and i have three children. i am listed on two of three birth certificates. girlfriend will not willingly add me as father on third. relationship ending. have i any grounds for court-ordered paternity testing? if a mother does so, father must pay. would the reverse be true?

thanks.
art

oh, and i am seeking custody of children. not sure if i would be granted custody of child where my name is not listed.

The way I understand it, you can challenge the paternity before the alledge child's 2nd birthday if you have a reason to believe that it is your child.I think it is usually the one who request the paternity test pays for the cost of test.