Re: One Year Gap (spoilers, kinda)
According to the IDW
the events in the after darkness comics take place in 2259 one week after the very last scene of the movie and they're aboard the Enterprise refit not another ship.
I'm not sure anymore that there is an actual one year gap in the end.
here's a preview of the comic where you can see the ship:
I also have the novelization by Alan Dean Foster and the one year gap isn't mentioned either.
Spock: I apologize, Captain, but the complexities of human pranks escape me.