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You have misrepresented the story of Peter's conversion.
"Did Jesus tell Peter he was a sinful man? Did Jesus tell Peter to give up everything and follow him?"
Actually, I'm sure that Jesus did! Not that Jesus told Peter specifically, or in so many words, but you seem to have missed the part where Jesus "sat down, and taught the people out of the ship."
What do you think Jesus said? We don't know exactly, but his public sermons were always like the Sermon on the Mount: they exposed the inadequacy of self-righteousness, and called on people to commit their lives to Him.
Moreover, Peter was *already* a disciple of Jesus when this took place (John 1:35-42). Although he apparently had not yet fully committed his life to Christ, he had spent time listening to Him before.
I am not writing this to attack your larger point; I have not entirely made up my mind about this doctrine, but am in at least partial agreement with you. I am grateful for and have been edified by many things on this site.
But for the love of the truth, do not make it sound like Luke 5:4 is the only thing of consequence Jesus said to Peter before his conversion. That's just not true.
(Feel free to remove this message after you have revised your page. Perhaps some day I'll come back and write a response to your real point, if I ever make up my mind about it.)