[Nintendo DS][2000ish] island escape game

Disclaimer: English is not my first language

So, the game I am looking for was clearly made for younger children. I vaguely remember the story of the game and some of the mini games, as I remember it to basically be just minigames.

You strand on an island and try to live there as you try to fix your balloon to get off the island.

Mini games I remember: - fitting pieces of palm leaves into a particular shape to cover holes in the balloon - building a shelter from floor, roof and wall segments so to match an example given

Another thing is that there was a white kakadoo you could interact with.

The graphics were cartoon-ish, pixel-y if that helps anyone

Sorry if this is hard, I barely remember it.

Edit: additional info