This one was decidedly weird. I liked the almost-normal world that the kid lived in where it turned out his strangest perceptions turn out to be true. I did have a little trouble believing this could exist because the moon apparently disappears from the sky and nobody but the kid makes note of it. I dare say that if the moon disappeared, there would be panic and religious cults all over.
I didn't really care for the recursive ending. For one thing, he bargained with the moon for it to take away the mugger, so why was the mugger still there. Unless it was a second mugger. In any case, I didn't like the circular ending that never reaches a resolution. If time really got rewritten back and forth like that, the magnetic tape of the space/time continuum would have eaten by the tape deck of the multiverse by now.
One thing that I thought was really funny is that the voice of the Moon sounded like HAL from 2001: A Space Odyssey, with its flat toneless expression but soft voice. This was particularly funny to me, since HAL is represented by a red circle, and the moon is a white circle which causes red (the blood of the mugger's attack that was in his sister's drawings at the beginning). Methinks that HAL and the Moon are siblings, HAL ruling over the rational world, and the Moon ruling the world of the irrational. When the girl changes from drawing the red (HAL) pictures to the (Moon) silver pictures, she is shifting from the rational to the irrational.