What about rebaptism?

Your baptism doesn't save you. The fact that you were unsure about your faith at 14 is no reason to be rebaptized. However if it deepens your faith you can be rebaptized. There is nothing unscriptural about it. But there is something upscriptural about not honoring your parents. If they are against it you need to continue to talk to them about it and you continue to pray about it and maybe they will change their mind.