We took our teen and younger daughter on the Orchestra for a 17 day transatlantic crossing and they both had a good time. I have to admit though there were not very many teens or kids on this particular sailing. I imagine that there will be more teens on a caribbean sailing. The ship is incredibly beautiful and they did allow the teens to use certain bars every evening for dancing, etc. As for the arcade, both my girls responded, Arcade? There was an arcade? So you might want to look into that one, maybe it was just placed in an obscure location and we didn't find it. I'm not sure.
Have an awesome trip and let us know how it worked out for you.