ST-One
Vice Admiral
The corvette had it's top up in the beginning of the chase and down a couple of seconds later,
To me, these are things I'm personally more interested in and are more fun rather than "Kirk served on the Farragut and Republic and not on the Enterprise!"
And yes, good observation! And a couple of shots the sun is at a different direction. Parts look high noon, parts look like near sunset. Just small gaffes!
As has been said a few times now: It's not the whole sequence.