And five verses later Christ calls St. Peter “Satan”, and comments that “you do not have in mind the things of God, but the things of men.” To me this quite contradicts the idea that he was appointing St. Peter as sole ruler of the Church just a few verses before.
Could that be explained by what Jesus said later to all of the apostles? “Satan has asked to sift all of you like wheat”. Was Satan already trying to sift Peter after Jesus renames him Rock and gives him the keys to the kingdom? Makes sense. Who is Satan going to attack 1st, but the one Jesus selects to head His Church.
Did Jesus statement to Peter, change what Jesus did for Peter? NO!
n:
Even the Catholic Church holds they were given to all the apostles, it simply believes the Church was given “special” keys. If you wish to argue the Catholic viewpoint you should at least present what is held by the Church.
The Church teaches those keys come through Peter to the other bishops united to him. Scripture only refers to Peter receiving the keys.
n:
Depends on how you mean “confirm”, he certainly never had the right to decide who were apostles. As long as you don’t mean that I’ll agree. The problem of course is that St. Peter is not synonymous with the Papacy, although this privilege was extended to the Orthodox Bishops of Rome.

n:
That site seems to be talking about the term “Sister Churches”. The Term “First Among Equals” is (In Latin and Greek) quite an old term.
It talks about the origin AND that the term was never meant to apply to the pope.
n:
Actually that quote mentions a letter was sent “from the Church of Rome” during the time of Clement.
Irenaeus said
"In the time of this Clement, no small dissension having occurred among the brethren at
Corinth, the
Church in Rome dispatched a most powerful letter to the Corinthians, "
Who has the authority to speak for the Church? It’s the bishop correct? Letters of correction regarding sedition among bishops don’t come from, or go back and forth to, joe six pak in the pews. Do we agree?
Irenaeus was certainly aware of Ignatius letters to the Church at Smyrna where Irenaeus was from. Ignatius says, do nothing regarding the Church without the bishop.
Therefore, since Irenaeus is writing against heresies, gnosticism in particular, and regarding authority and who to obey, he is NOT going to suggest the letter coming from the Church of Rome didn’t come from Clement. Fair to say?
n:
First off we should take out the qualifier books, since those weren’t always signed.20/22 Letters are signed. The two exceptions are Hebrews and 1 John.
Does the fact a Gospel or letter is not signed by the author disqualify it as valid?
n:
Not quite meaningless, though certainly nothing compared to Supreme Ruler or somesuch.
It’s pretty much meaningless.
n:
The problem is that this is based on a whole bunch of assumptions. Where was St. John at this time? If he was already in exile then there is no way he could help.
That’s possible. Yet he was able to write the book of revelation and get it to the Church. So somehow he was able to still communicate with the Church.
n:
Additionally there were three major metropolitan cities which emerged, Rome, Antioch, and Alexandria.
Rome was already there and chair of Peter.
Constantinople was 200 years later. And it’s interesting, Constantinople made itself 1st in the East, then the others came behind it. I’m not sure how the sees are officially ranked by the East. But It seems to me Jerusalem was considered last in rank. Alexandria and Antioch it seems to me are 2nd and 3rd. But I could be wrong on that ranking.
Is Constantinople/Istanbul still 1st among the Orthodox today? What about Alexandria, Antioch, and Jerusalem? Where do they rank with each other? 1st among equals just doesn’t make sense. 1st isn’t 1st and all the rest aren’t equal because they are all ranked as well, 2nd 3rd, 4th etc etc etc… not just by count but by status.
n:
While I haven’t checked the distances, looking at a map, Rome certainly appears to be the closest of these to Corinth and probably would have been the See which they’d appeal to for help.
Rome is on the West coast of Italy. If one goes by land to get from Greece to Rome the mileage is huge in those days. If by sea, & land, the mileage is cut considerably but still slow and long . However, much closer to Greece if one looks north you have many churches all with valid bishops.
I believe The point is, Corinth went to the chair of Peter.
n:
I would point out that Harpazo made and excellent reply regarding St. Ireneus.
What did he say?