In the scenario the OP brings up, there is no need for re-baptism as the issue isn't one of "re-salvation" that requires an expression of baptism.
However, if a person was baptized as a child because of family pressure, yet that person realizes later that they were not saved, should they be re-baptized?
My current pastor, who grew up in the church, asked to be re-baptized before he became a pastor, because he wasn't saved when he first was baptized. In the case of the first baptism he faked his conversion for family and friends so that he could avoid the pressure. It was in his late teens that he truly came to saving faith. He wanted to be honest with the church and requested to be re-baptized now that he was actually saved. He didn't want to look like he supported infant baptism where you are baptized into the covenant family of Christ, yet aren't yet saved.
However, if a person was baptized as a child because of family pressure, yet that person realizes later that they were not saved, should they be re-baptized?
My current pastor, who grew up in the church, asked to be re-baptized before he became a pastor, because he wasn't saved when he first was baptized. In the case of the first baptism he faked his conversion for family and friends so that he could avoid the pressure. It was in his late teens that he truly came to saving faith. He wanted to be honest with the church and requested to be re-baptized now that he was actually saved. He didn't want to look like he supported infant baptism where you are baptized into the covenant family of Christ, yet aren't yet saved.