For unmarried parents, being on the birth certificate is not the whole story: legal paternity is what carries time-sharing rights and support obligations.
A voluntary acknowledgment signed at the hospital becomes binding after a short rescission window; otherwise a paternity action under § 742.011 establishes parentage, a parenting plan, and support together.
Florida also has disestablishment procedures (§ 742.18) with strict requirements — deadlines and newly discovered evidence matter enormously there.