I really got into the story.
In addition to the already known parallax issue, I think the speech bubbles could be already at full size and text fill it from left to right. The way it is now makes it really hard to read.
What else... When starting a new level Amanda could already be by your side instead of floating from the assumed previous position. And at the end I thought the controls were locked for a cutscene. But when I tried to move, I slipped too far into oblivion, never seeing the ending.
Good stuff, good job!