Whether those who had been baptized with John's baptism had to be baptized with the baptism of Christ?

Objections

Objection 1 : It would seem that those who had been baptized with John's baptism had not to be baptized with the baptism of Christ. For John was not less than the apostles, since of him is it written (Mt. 11:11): "There hath not risen among them that are born of women a greater than John the Baptist." But those who were baptized by the apostles were not baptized again, but only received the imposition of hands; for it is written (Acts 8:16,17) that some were "only baptized" by Philip "in the name of the Lord Jesus": then the apostles---namely, Peter and John---"laid their hands upon them, and they received the Holy Ghost." Therefore it seems that those who had been baptized by John had not to be baptized with the baptism of Christ.
Objection 2 : Further, the apostles were baptized with John's baptism, since some of them were his disciples, as is clear from Jn. 1:37. But the apostles do not seem to have been baptized with the baptism of Christ: for it is written (Jn. 4:2) that "Jesus did not baptize, but His disciples." Therefore it seems that those who had been baptized with John's baptism had not to be baptized with the baptism of Christ.
Objection 3 : Further, he who is baptized is less than he who baptizes. But we are not told that John himself was baptized with the baptism of Christ. Therefore much less did those who had been baptized by John need to receive the baptism of Christ.
Objection 4 : Further, it is written (Acts 19:1-5) that "Paul . . . found certain disciples; and he said to them: Have you received the Holy Ghost since ye believed? But they said to him: We have not so much as heard whether there be a Holy Ghost. And he said: In what then were you baptized? Who said: In John's baptism." Wherefore "they were" again "baptized in the name of our [Vulg.: 'the'] Lord Jesus Christ." Hence it seems that they needed to be baptized again, because they did not know of the Holy Ghost: as Jerome says on Joel 2:28 and in an epistle (lxix De Viro unius uxoris), and likewise Ambrose (De Spiritu Sancto). But some were baptized with John's baptism who had full knowledge of the Trinity. Therefore these had no need to be baptized again with Christ's baptism.
Objection 5 : Further, on Rm. 10:8, "This is the word of faith, which we preach," the gloss of Augustine says: "Whence this virtue in the water, that it touches the body and cleanses the heart, save by the efficacy of the word, not because it is uttered, but because it is believed?" Whence it is clear that the virtue of baptism depends on faith. But the form of John's baptism signified the faith in which we are baptized; for Paul says (Acts 19:4): "John baptized the people with the baptism of penance, saying: That they should believe in Him who was to come after him---that is to say, in Jesus." Therefore it seems that those who had been baptized with John's baptism had no need to be baptized again with the baptism of Christ.