Were these men addressed as apostles
These are Apostles.
First time i have seen Peter associated with Antioch. What’ odd about Rome is that Paul in that epistle never mentions Peter but he does for many others.
Peter’s tomb is in Rome.
Your sister church in Babylon, chosen together with you, sends you greetings; and so does my son Mark" (1 Pet. 5, 13)
Further, the term Babylon is used six times in the Book of Revelation in the same way:
“Then another angel, a second, followed, saying, Fallen, fallen is Babylon the great! She has made all nations drink of the wine of the wrath of her fornication” (v. 14, 8);
“The great city was split into three parts, and the cities of the nations fell. God remembered great Babylon and gave her the wine-cup of the fury of his wrath” (v. 16, 19);
“…and on her forehead was written a name, a mystery: Babylon the great, mother of whores and of earth’s abominations” (v. 17, 5);
“He called out with a mighty voice, Fallen, fallen is Babylon the great!” (v. 18, 2);
“…they will stand far off, in fear of her torment, and say, Alas, alas, the great city, Babylon, the mighty city! For in one hour your judgment has come” (v. 18, 10);
“With such violence Babylon the great city will be thrown down, and will be found no more” (v. 18, 21).
Babylon can only refer to Rome as it was the only true “great city” in the time of Christ and the Apostles. Babylon proper in Mesopotamia had, by 100 A.D., been reduced to an inconsequential status.
The actual story of the discovery of St. Peter’s tomb and his skeletal remains spreads over centuries. On the site where St. Peter’s Basilica now stands stood originally a chariot race-course track built by the Emperor Caligula. All that remains of that race-track today is the tall Egyptian obelisk standing in the middle of the piazza. Nearby, at a small distance from the stone structure of the race-track, along the Via Cornelia, was a pagan burial-ground lying in a knoll called Vaticanus (“vatis” in Latin meaning prophet). It was in this burial-ground that the bones of St. Peter, wrapped in linen, was laid after his martyrdom.
St. Anacletus, third Bishop of Rome, erected a shrine over St. Peter’s grave which was visible to all those who passed by Vatican Hill. This shrine, despite the persecutions, became a familiar meeting place for Christians from the beginning and was mentioned in the Acts of St. Sebastian and in the writings of St. Marcius and St. Maurus dating from the third century.
In the early fourth century, the Emperor Constantine allowed Pope Sylvester I to construct a large new church over the burial place of St. Peter and the remains of other early Popes now gathered there. The stones for this new church were quarried from the old race-course and the structure of St. Peter’s shrine became the high altar. Begun in 326, this church was finally completed in 349. It contained five naves, fifty-two altars with seven hundred candles burning day and night, and golden mosaics decorating the walls and arches.
The actual bones of St. Peter were taken out of their shrine by Constantine, covered in fine purple cloth interwoven with gold, put into a box, and placed into a niche of a nearby wall (Wall G) to protect them from humidity. This wall was later covered by red plaster. The original burial place of St. Peter was also walled off to protect it from injury and the outside world, only to become lost for the next sixteen hundred years.
In 1506, it was decided, due to subsidence and decay, to replace the old church built by Constantine with a grand new basilica. In 1626, Bernini, testing the floor over St. Peter’s burial place for the erection of his weighty balbacchino, came across numerous skeletons. These skeletons were arranged like spokes of a wheel, pointing to a central spot under the high altar.
If look at James in the Acts 15 where he has the final say at the first council, we don’t see any reference to him being the bishop of this church.
Because before there were bishops there were Apostles. The Orthodox Church itself maintains that he is the first bishop of Jerusalem. The Catholic Church also affirm this.
Did the all the churches believe that the men you mention above have the same authority as an apostle?
They are the Apostles.