We love the idea of this game and its ability to deliver an atmosphere through its rules. The value given to the smallest things is certainly up our alley, and we think you did a splendid job with it. There are a lot of ideas in here.
What you could perhaps work on is binding together the various phases, and maybe finding a way to allow Children and Parents to play together sometimes or influence each other's activities. On paper, without having tried it already, we can't say how much of this is just our feeling or an actual characteristic of the game, but we think the points that need the most attention are the transitions from one phase to the next, having to switch between activities which may well be very different from each other and maybe to wait for the other team to end their phase.
Considering the magnificent job you did with words, we're convinced that the game could become even more homogeneous. Right now it certainly already gives off enough feelings of nostalgia and time going by that we truly want to try it. Great work.