Agree with the previous two comments about the outer space cuts in the first half: the quality of the image, the colour palette, the movement - none of it fits with the feel of the projected retro clips. Those clips are also very "adult" and scientific (scientifically accurate) - not at all like the fantasy world a child would be dreaming of.
For similar reasons, I don't really like the repeated cuts back to the projector. We know the clips are old-style film - that was set up in the opening shot, and it's obvious from the visual effects. There's not really any need to interrupt the visual style and narrative with several versions of the same "establishing shot".
The cut at the end is more ... grounded
(? can you describe something as grounded when the camera is flying off into outer space ... ) - a young adult's view of the real world: yes, there is something out there (even if it's stuff we sent up) and looking back at our own planet, our own point of reference.
Overall, though, the composition is pretty coherent, and even if it wouldn't be an award-winning production, you've made good choices in respect of the real-life stock footage.