v1-3: The events at Caesarea are quickly reported throughout the existing churches. Since the Christians are largely Jewish, they criticise Peter. This dispute in the church has to be settled.
Peter wisely returns to Jerusalem to address the issue, and "explain everything ... precisely" that has happened.
v4-10: Peter relates his vision. He quotes his own reaction to the vision, which would be the reaction of any faithful Jews.
v11-14: Peter had taken 6 brothers with him; the Jews would not accept the testimony of one man, even an apostle, and would look for confirmatory testimony. The timing of Peter's vision and the arrival of the delegation from Cornelius is seen as God's hand on the situation.
v15-18: Conclusion and agreement. The Holy Spirit "came on them as He had come on us at the beginning," see 10.47. They experienced what we experienced. The absence of tongues of fire and the mighty rushing wind is not an issue here.
The Holy Spirit is given to those "who believed in the Lord Jesus Christ;" that is God's way. His gracious gift is linked with faith; elsewhere the Scriptures indicate that the Holy Spirit enables us to believe.
The agreement here is with rejoicing, as the growing Christian community see that God's plan is much wider than the Jewish nation. The matter is not finally solved, as Paul later endures opposition from those who would 're-Judaise' the faith.
v19-21: The gospel spreads amongst Jewish proselytes and Gentiles; the pattern of chapters 8 and 10 is multiplied. Antioch comes into the picture, as the new centre of the church; see 13.1-3. Jerusalem has the problem of its clear Jewish flavour, which influences the agreement reached in chapter 15.
v22-26: Events in Antioch are reported back to Jerusalem, where the apostles remain. Barnabas has already proved himself faithful, and is sent to Antioch to encourage the new Christian community there. He was not one of the original Twelve, but exercises an apostolic ministry. Whilst involved at Antioch, Barnabas brings Saul from Tarsus. They serve together in the church there for a year, probably until 13.1-3.
It might be said that the church at Antioch was the model New Testament Church. The church at Jerusalem endured a transition from Judaism, whilst the church at Antioch was founded on clear Church principles. (See Watchman Nee, The Normal Christian Church Life chapter 2).
Significantly, the followers of Jesus were first called 'Christians.' No distinction was made between Jew and Gentile.
v27-30: Practical help sent to Jerusalem; Gal 6.9-10. This is important, as Jerusalem ceases to be self-sufficient, in spite of many selling all their possessions.
"It is historical fact that the principate of Claudius saw widespread shortages throughout the Roman world. In fact Nature in the whole Mediterranean area was beginning to hit back. For too many centuries men had mined the soil, and denued its hills of a saving forest-covering. Crises of infertility were arising, and notable encroachments of the desert on the sown" (commentary on Acts)."