Paul teaches that Jesus was an incarnation of God (despite many critics harping to the contrary). That is strong evidence that Paul believed in the Avatar doctrine and thus reincarnation.
I'm not feeling up to climbing your walls of text, so forgive me if you've already addressed this, but I'd like to see your evidence supporting this.
If you've already posted it, a link and copy paste will do. I'd like to discuss this aspect of your position more.
Also, I'd be interested in seeing where it is Jesus is described teaching reincarnation.
Love your enemies!