Quick answer for having the button appear once the sprite falls below a certain point: When you create the button, set its state to not visible. resetButton.isVisible = NO;
Then write an if statement about your sprite's position and enable the button once that happens.
if (sprite.position.y >= 0)
{
resetButton.isVisible = YES;
}
This should get you started on that aspect. I'm not at my Mac right now, but if memory serves, a non-visible button is not enabled, so clicking on its location won't matter. If that's incorrect, just add in resetButton.isEnabled = NO;
and YES
appropriately.
As for resetting the scene, this can get a little tricky depending on what exactly you want to accomplish. You need to essentially replace the scene with itself, but this can cause undesirable flashes. A quick google search found a bunch of forum posts on this. If you can elaborate on what you've already tried and where you're getting caught up, I can try and get more specific.