I have translated the achievements with Google Translate. Most translations are pretty clear. If needed I will give some extra tips to get the achievement.
Translated:Tinny ensureComplete Chapter 2 in story mode
Just play the game on easy. If you don't complete the level the first try. Just press retry. Almost every time an enemy will drop an random 1up. You will keep those forever and so every time you restart the level you will have an extra life. Keep retrying the level untill you have enough 1ups to complete the level.