One thing that would have made the movie was Kirks first Captains Log: Agree??
We never got a Log from Captain Pike but we did get a log from Spock explaining the loss of Vulcan. What would have made the movie before it ended was when Kirk took command of the Enterprise, he should have initiated a Captains Log before they went to warp. I mean wouldnt it have been memoriable to hear Kirks first ever Captains Log? I remember on DS9 when Sisko went from Commander to Captain he made his first Captains Log in that excellent episode.