For our sake he made him to be sin who knew no sin, so that in him we might become the righteousness of God."
So, in our baptism we are identified with the Son of God (Colossians 2:12). In our baptism our sins are washed away (Acts 22:16). In our baptism we put on Christ (Galatians 3:27). In our baptism our hearts are circumcised (Colossians 2:11). In our baptism God speaks over us as He did with Christ, "this is my child" (Luke 3:22).
Baptism is God's doing, not anyone else's. He does it right the first time so there is no need for any "re-baptisms". Ephesians 4 states that there is one Lord, one faith, and one baptism.
We would do well to remember our baptism and be thankful. Martin Luther would tell himself each morning, "I am baptized." He knew what his baptism meant and what it meant for all who had been baptized. He encouraged his hearers that each time they washed their face they should remember their baptism.
Today and tomorrow, remember your baptism and be thankful.