A - Thanks for the question. The question comes down to - is your baptism valid or not? If it is not, then you would need to be baptized. If it is, then nothing would need to be done.
With the information you gave, your baptism is valid. Here is what is required to have a valid baptism:
- Proper Matter
- This is "true and natural water"
- The minister of the Sacrament must immersein water or pour / sprinkle water upon the candidate, while saying, “I baptize you in the name of the Father, and of the Son and of the Holy Spirit.”
- The minister of the Sacrament must intend to baptize as the Church intends.
While a deep understanding of the faith is certainly a goal, it is not a necessity for a valid baptism. Furthermore, while the Church asks that there be a Godparent who is Catholic, it isn't necessary for a valid baptism either.
"Go, therefore, 12 and make disciples of all nations, baptizing them in the name of the Father, and of the Son, and of the holy Spirit," - Matthew 28:19I hope this helps.