If the parents had no intentions to raise catholic, hm, the intentions are to remove original sin. I would have myself baptized again. So, that is my opinion.
It is
not your parents intentions that count for validity, but the intentions of the priest who baptised you. What reason have you to doubt his intentions?
Baptism is a once only sacrament. Your opinion in the matter will not change that, however consult a priest, (the one who baptised you if he is still around) and ask him for advice in the matter. He may have been praying for you since your baptism and be glad to hear that you are sincerely searching.