The shots of earth from earth orbit.
Yes, but which ones?!

It doesn't, but does it not sit uncomfortably with you. Lets remember this was a multi-billion dollar exercise and they definitely used filming techniques akin to cinema (and no.... I'm nit saying it was fake and shot in a studio). They had equipment set on timers, positions and angles pre-set.
Its not beyond the realms of rational that ***** were done to save time.
Okay. So let me break this one down. We have two possible scenarios here as I see it.
A) The Apollo 11 crew pre-filmed a broadcast to be shown later in the flight. This was filmed in low Earth orbit. It was used by the flight crew and NASA as a broadcast from further out towards the Moon for....some reason, not really specified, rather than just doing the broadcast from out towards the Moon.
B) The Apollo 11 crew filmed a test broadcast in preparation for a broadcast to be made later in the flight. This was filmed in low Earth orbit. It was used by the flight crew and NASA to test everything for a broadcast from further out towards the Moon....because they didn't really fancy screwing anything up.
Now Sibrel goes with A, and has never really provided a great deal of justification for doing so. Are you going on what he's said? Because if you are, then I'm afraid you're drawing from a source with almost no foundations at all.