It seems people on this forum are having trouble accepting positively meant criticism. I read through your whole document in order to help you with feedback. There is not a single description of one of those minigames. A design document is a specification, that describes your gameplay in detail. The general remark of the existence of these games is not sufficient, even if you name the benefits of winning them. You need to describe the baseic interface of the game and how the user or player is expected to interact with the game system in detail. I'll give you an example:

Minigame Nr. 1 is called xyz. This minigame is being started whenever the player does xyz. The game starts with xyz. A screen is shown with a grid on it. There are four types of symbols on the grid. The symbols are as follows: 1. a 2. b 3. c 4. d In order to win the game the player is expected to do this and that with the symbols. He wins the game when condition xyz is reached. Incase xyz happens the game is lost. The player is then punished with xyz.

It's that much of detail that is expected of a design document. For all minigames occuring and much more important even for the main game.