We probably need a few more female characters.
Yeoman Rand? Nurse Chapel? Number One?
I think Number One may have missed the boat unless she is given a cameo as the captain of another ship. I was rather irked at her absence. Spock could have been second officer Lt-commander and they could have injured her in the battle at Vulcan. I suppose the 'timeline' didn't consider her significant enough to restore...

Rand definitely. In fact Rachel Nichols would make a pretty good Rand if Gaila is axed. Chapel just needs some screen time and some lines. I'd like to see Ann Mulhall as Scotty's number two and also an expert astrobiologist and exobiologist.
I'd like to see a continuation of the Vulcan problem. If the sequel is to stand on its own, they may need to recap this part of the plot. Ben Kingsley adds a personal element but T'Pau should be involved in the repatriation of the surviving Vulcans - I wonder if Mira Furlan would be willing to dip her toe into sci fi again?
I also agree about Uhura being overlooked for the big chair when Kirk and Spock left the bridge. I think Kirk puts Chekov in charge. I agree that command personel would normally be placed in charge but Chekov is 17, an ensign, untested as a commander in a crisis, while she is an older lieutenant (and has taken the Kobayashi Maru test), and they're in the middle of a crisis. It felt like a slap in the face for the sake of a cheap joke.