I read the Scriptures you posted, but do not see any "restoration". Instead, I see a petty, jealous man, who later found it necessary to try and make Gentiles follow the Jewish customs and could not have been your cult claims as the leader of the church. The head is Christ Jesus, and Peter was only one of 12. The following passage is the completion of your post... and does nothing to reinforce or restore Peter into any role of authority. YMMV, but that is only because of your "traditions of men"!
John 21: ...20 Peter turned and saw that the disciple whom Jesus loved was following them. (This was the one who had leaned back against Jesus at the supper and had said, Lord, who is going to betray you?) 21 When Peter saw him, he asked, Lord, what about him? p>22 Jesus answered, If I want him to remain alive until I return, what is that to you? You must follow me. 23 Because of this, the rumor spread among the believers that this disciple would not die. But Jesus did not say that he would not die; he only said, If I want him to remain alive until I return, what is that to you? p>24 This is the disciple who testifies to these things and who wrote them down. We know that his testimony is true.
Rightly divide the Word, FRiend.
And the Lord said, “Simon, Simon, Satan hath desired to have you, that he may sift you as wheat: But I have prayed for thee, that thy faith fail not: and WHEN THOU ART CONVERTED, strengthen thy brethern”. Luke 22:31,32
The Lord pointed out that Peter had faith, BUT was not yet converted.
When was Peter converted?......Pentecost, when he was filled with the Holy Ghost.
Yes, Peter still struggled with the old laws, but he was a new man regardless, and CERTAINLY no coward. Instead of pulling out a sword, he put forth the Word, in the midst of some very vicious people. Remember, Herod had killed James, the brother of John, and was preparing the same fate for Peter, when the Lord loosed him from prison again.
In testifying of the gift of the Holy Ghost being poured out upon the household of Cornelius, Peter called the Holy Ghost infilling the ‘beginning’:
“And as I began to speak, the Holy Ghost fell on them, as on us AT THE BEGINNING”. Acts 11:15
Not the sight of the Lord walking on water,
not the raising of Lazarus from the dead,
not even the sight of the resurrected Christ walking through a wall to sit down and have a bite to eat with the disciples.
None of those, or many of the other miracles, did Peter refer to as his ‘beginning’.
The Holy Ghost infilling is a supernatural experience; not just a ‘feeling’, or a particular emotion. It powerfully converted Peter.