I just downloaded your game and have been playing a bit. I am not sure how the New Game+ you mentioned works though. When I die and get the game over screen, am I supposed to press something? It throws me to the original screen with options 'New,' 'Load,' and 'Quit.' Selecting new just starts the game all over from the very beginning, and well, the others don't help either.
you only get the new game + option when your 30 minutes are up. You're taken to a save screen where you save your game, and then the "load" option in the save menu is replaced with "new game +" for that one save. Dying in battle doesn't trigger this option.