I think the lack of a reset is one of main things that makes this movie strong,
But at the end they toy with us and the fear of the Reset Button...
Kirk orders Sulu to 'get us home' just as the Enterprise starts to fall towards the black hole (of which we know that it could lead to the original universe).
Then, after the core-reactors have exploded, we see each of the the main cast in a close-up, slightly blurred out by all the violent shaking, the Enterprise is completely engulfed in the shockwave... then we see nothing but the blue glowing explosion... and we could begin to start to wonder whether there will be a reset after all... but then the Enterprise emerges un-re-rebooted
and we get another set of close-ups of the bridge-crew, all smiling ('look we are still here'