My favourite parts are a tie between:
1. The two minute build up of "Can't wait to see Starbase 1 again, it's been so long since we've been here, yay we're almost there, hey you can't hail them? That's okay, can't wait to see all my friends. View screen on? Not yet? Okay when you're ready.....oh no it's been attacked!" No sh*t, nice needless build up.
2. Burnham - I think I brought evil Georgiou here because I didn't save her in our universe
Saru - Ya think? Did you really have to voice that thought twice in the episode?
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And while Cornwall is throwing around promotions, why not give Burnham a field commission or just stop freaking calling her "Specialist". Does Starfleet not refer to staff as Mr. _____________ any more?
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I did like the references to Jonathan Archer though. Nice touch to honour a real Star Trek series.