You forgot to mention when Peter baptised Cornelius and his household (Acts 10). However, I don’t see any mention in any of your citations of how old the youngest member of the household was. On the other hand, I see plenty of evidence where people believed first, then they were baptised (such as the Ethiopian eunuch in Acts 8, Cornelius in Acts 10, and even Paul’s instructions to the jailer in Acts 16). I have thought very carefully about what I believed when I was baptised in the Catholic Church, and the best I can come up with is “I believe the guy in the dress is really annoying.” I was baptised properly after leaving the Catholic Church (with full knowledge of what I was doing, and believing on the Lord Jesus Christ as my Lord, God and Saviour).
One other point…we should not be surprised to see mostly adult baptisms in the Bible since the NT era was primarily focuses on first-generation beleivers. However, whole households and large crowds were baptized.
A few examples:
The Church Begins to Preach Baptism
Acts 2:38-39
38 Peter replied, “Repent and be baptized, every one of you, in the name of Jesus Christ for the forgiveness of your sins. And you will receive the gift of the Holy Spirit. 39 The promise is for you and your children and for all who are far off—for all whom the Lord our God will call.”
Peter did not say, “Every one of you adults”; he said, “Every one of you” without qualification and added “the promise (of the Holy Spirit) is for you and your children”. Baptism and the Holy Spirit are frequently connected throughout the Bible (cf. Ez. 36:25-27, Mt. 3:16, Jn. 3:5).
Acts 10:47-48
Then Peter said, 47"Can anyone keep these people from being baptized with water? They have received the Holy Spirit just as we have." 48So he ordered that they be baptized in the name of Jesus Christ. Then they asked Peter to stay with them for a few days.
Peter baptized the entire house of Cornelius which probably included infants and young children. There is not one word in this passage (or any other in scripture) about baptism being limited to adults.
Acts 16:15
13On the Sabbath we went outside the city gate to the river, where we expected to find a place of prayer. We sat down and began to speak to the women who had gathered there. 14One of those listening was a woman named Lydia, a dealer in purple cloth from the city of Thyatira, who was a worshiper of God. The Lord opened her heart to respond to Paul’s message. 15When she and the members of her household were baptized, she invited us to her home.
Paul baptized Lydia and her entire household. The word “household” comes from the Greek word “
oikos” which is a household that includes infants and children. Further, Paul baptizes the household based on Lydia’s faith, not the faith of the members of the household. This demonstrates that parents can present their children for baptism based on the parents’ faith, not the children’s faith.