"+Luke didn't know Chirst in person either."
Oops!
Yes, I agree that Luke didn't know Jesus in person.
However, I've often wondered when Paul's education under Gamaliel began in Jerusalem, and if Paul had been present during the time of Jesus' ministry on this earth.
My guess is that Paul would have mentioned it if he had, but then again, that is an argument from silence, so it's still slightly up in the air.