I thought the rehashed scenes were meant to be funny - I laughed so hard I was embarrassing. I hope they weren't meant to be taken seriously by fans of the original. That would be a bit sad... Although first timers might enjoy them I feel sorry for them if they then to go on to watch TWoK since that scene played much better.
I did enjoy Kirk's journey in the movie but I'm unconvinced that he's learned much of a lesson. He still only saved the ship due to luck.
First timers, people who have only seen the reboot and people who have not seen twok will absolutely love the warp core scene!
They will also (hopefully) check out the old movies after this one and like what they see. These new movies are still the best thing to happen to Trek because it gets more people onboard who may never have bothered before and CBS/Paramount get the cash