 Temple for a ritual of purification which resulted in a riot because some of the Jews mistakenly thought that he had taken Gentiles into the Temple. The crowd is restrained by a group of soldiers (Acts 21:31-40), and then Paul was given an opportunity to speak to them. (Acts 22:1-23). They wouldn't listen, and the soldiers were about to scourge him to try and extract a confession of some sort, but Paul declared that he was a Roman citizen and he was given an opportunity to talk to the Sanhedrin. (Acts 22:24-30). They wouldn't listen, but he managed to get the Pharisees and Sadducees arguing with each other about the resurrection of the dead. (Acts 23:1-9). The Romans continued to protect Paul from their violence. Some Jews made a plot to kill him, but the plot was discovered and Paul was safely escorted to Felix, the governor of Judea. (Acts 23:10-35). He was given some opportunities to testify to Felix (Acts 24:1-26), but was kept in prison for two years until Felix was replaced by Festus. (Acts 24:27-25:1).
This brings us to our fourth key date, 59AD, and it means Paul's arrival in Jerusalem and the events that led to his imprisonment occurred in 57AD. He had been in Corinth and quickly made his way to Jerusalem in time for Pentecost, so the book of Romans was probably written early in 57AD.
Unlike the book of Galatians, the book of Romans does not mention any dissention with Peter or any of the other Apostles and Elders, about circumcision of the Gentiles, because by that time the problem had been resolved. However, it was still a hot enough issue to warrant considerable debate. Only 27 years had passed since the day of Pentecost, and for the first 20 of those years the problem had not been resolved. They had enjoyed only 7 years of liberty since the Jerusalem Council in 50AD and there were still many questions to be answered about observance of the Torah and justification by faith.
Paul eventually managed to meet the Roman Believers when he was despatched to Rome as a prisoner, having appealed to Caesar. (Acts 25:11, 28:15). The journey to Rome began in 59AD after Festus had taken over from Felix, in a ship that was scheduled to arrive the same year before the winter, but they didn't make it and spent the winter in Malta. (Acts 28:1-11). Then they went in another ship to Italy and went to Rome (Acts 28:11-14), so the arrival in Rome was early in 60AD. He was given an opportunity to speak to the Jewish leaders and explain why he had been brought as a prisoner to Rome, but none of them were interested in prosecuting him because they had not been given any letters of complaint from the Jews in Judea. (Acts 28:17-29).
Paul spent two years in Rome in a rented house and received visitors, so he was able to continue his ministry (Acts 28:30-31), which brings us to 62AD.
The book of Acts must have been written shortly after this, because it ends on a triumphalist note and fails to mention the Great Fire of Rome that occurred in 64AD and the subsequent persecution of Christians.
The chronology of the early church can be summarised as follows:
30AD. Execution and Resurrection of Yeshua at Passover, and birth of the church at Pentecost.
30-32AD. Sometime between these dates, Stephen was stoned and the Believers in Jerusalem were scattered throughout Samaria, but they preached the Word wherever they went.
32AD. Conversion of Paul on the Damascus Road.
35AD. Paul visited Jerusalem, but was rejected because of his past history of persecuting the Believers, so he returned to his home town of Tarsus.
35-40AD. Sometime between these dates, Peter had his vision and went to visit Cornelius. As a result of this, the church began to consider including the Gentiles, but not without hindrance.
40AD. Latest date when Barnabas could have gone to Tarsus to find Paul and bring him to Antioch.
41AD. Latest date for the prophecy of Agabus, about the famine, assuming the prophecy was made before Claudius became Emperor.
46AD. Paul went to Jerusalem on his famine relief visit, then he returned to Antioch and went on his first evangelistic journey