This is an incredibly odd coincidence. I am taking a winter course in Philosophy of film. At this very moment I am watching the Matrix for the first time ever so I can take my online quiz on it...
Is good, but you have to bear in mind the movie pre-dates inexpensive cell-phones being literally everywhere by nearly a decade.
Later movies fix this while wrecking just about everything else. So stick with the original and maybe the Animatrix if you feel like diving into the lore. How the franchise ends should have been a non-issue.
The red-pill was just a cinamon tic-tac.