Thank you, Paul seems to be quite a self centred, self seeking individual who didn’t really like anybody. So your point that Paul makes such claims against Peter seem in keeping with his feeling of animosity and self importance. 
It would be really interesting to get a critique on the book below ( possibly the part covering Judaism and Christianity from Prof. Ehrman.

Behind the Myths: The Foundations of Judaism, Christianity and Islam Paperback.  John Pickard.

????  Apparently he resented The disciples and never acknowledged that the 12 disciples were in any way ‘special’ because of their close relationship with Jesus. I am an a atheist, since the age of 12,  but find the stories of interest.  But, and it might be a character flaw, I cannot believe that people are taken in. Surely everybody with any intelligence grows out of childhood stories like ‘god’, Santa Clause and the tooth fairy?

“My point, once again, is not that those ancient people told literal stories and we are now smart enough to take them symbolically, but that they told them symbolically and we are now dumb enough to take them literally.” 

John Dominic Crossan