One distinction that I do want to make (that was made to me as an undergrad studying both Classics and Philosophy) is that we do want to remember that Phaedo is essentially third-hand information. It is written by Plato based on his understanding and editing of conversations he had with students of Socrates.
My professors always made this very clear and stressed that while it is common to consider things in the Platonic dialogues as Socratic canon, they were not, in fact, written by Socrates at all or in his immediate time period; as I recall, they were written a few decades after his death.