I agree with what I wrote before you edited it.
(I edited your post in attempt to fit a response within the character limits set on these forums. It didn’t work, so I will splitmy response into two posts as well.)
Peter denied Christ 3 times, Christ asked Peter if he loved Him 3 times. The first time was specifically asking if he loved Him more than these. “These” being the other disciples, who were also present to witness this conversation.
**Joh 21:15 When therefore they had dined, Jesus saith to Simon Peter: Simon, son of John, lovest thou me more than these? He saith to him: Yea, Lord, thou knowest that I love thee. He saith to him: Feed my lambs.
Joh 21:16 He saith to him again: Simon, son of John, lovest thou me? He saith to him: yea, Lord, thou knowest that I love thee. He saith to him: Feed my lambs.
Joh 21:17 He said to him the third time: Simon, son of John, lovest thou me? Peter was grieved because he had said to him the third time: Lovest thou me? And he said to him: Lord, thou knowest all things: thou knowest that I love thee. He said to him: Feed my sheep. **
Peter had denied Christ 3 times, and Christ provided Peter an opportunity of correcting his fault, with 3 confessions of love. Peter, repentant, told Christ, each time he was asked, “thou knowest that I love thee”, except the third time, when he said, " thou knowest all things", past, present and to come. With each confession of love, Christ commanded Peter, in the presence of the other disciples, to “feed my lambs”, “feed my lambs”, and finally “feed my sheep”.
In verse 15, Jesus refers to Peter as, “Simon, son of John” so there would be no confusion between Simon Thaddeus and Simon Peter and which was chosen to care for, or lead, the Church.
Christ used the phrase, “And whatsoever thou shalt bind upon earth, it shall be bound also in heaven: and whatsoever thou shalt loose on earth, it shall be loosed also in heaven”, twice. Once, the first time, speaking specifically to Peter. The second time speaking to the Apostles. The only differences was the fact that Christ, when addressing Peter specifically, said, “And I say to thee: That thou art Peter; and upon this rock I will build my church, and the gates of hell shall not prevail against it”, and “And I will give to thee the keys of the kingdom of heaven. And whatsoever thou shalt bind upon earth, it shall be bound also in heaven: and whatsoever thou shalt loose on earth, it shall be loosed also in heaven.” The second time was while He spoke to the Apostles, after giving authority to His Church.
Mat 18:17 And if he will not hear them: tell the church. And if he will not hear the church, let him be to thee as the heathen and publican.
Mat 18:18 Amen I say to you, whatsoever you shall bind upon earth, shall be bound also in heaven: and whatsoever you shall loose upon earth, shall be loosed also in heaven.
There were no keys to the kingdom of heaven mentioned this time.
As for the lists you mention, to me they clearly show the primacy of Peter. I really think that anyone that denies the examples given above is looking for a reason to reject the Catholic faith, or more specifically the primacy of Peter.
I don’t believe you ever addressed my first post and am not sure if you read it or not. So, I am re-posting it below for you to review. There was more to Peter’s renaming, with explanation from Christ than meets the eye, for some who don’t know the history of the area chosen, and the things that were said.