Now what Church had Peter as its first leader?
None in Scripture.
Is the Council of Jerusalem in your book of Acts? Or is it missing from your Bible?
And how about the descent of the Holy Spirit at Penntacost? Who was it who spoke to the people? Is that in your Bible or is it missing?
Yeah, except for Scripture - Jesus replied, "Blessed are you, Simon son of Jonah, for this was not revealed to you by flesh and blood, but by my Father in heaven. And I say also unto thee, That thou art Peter, and upon this rock I will build my church; and the gates of hell shall not prevail against it.
Except here - Jesus replied, "Blessed are you, Simon son of Jonah, for this was not revealed to you by flesh and blood, but by my Father in heaven. And I say also unto thee, That thou art Peter, and upon this rock I will build my church; and the gates of hell shall not prevail against it. Mat 16:17-18