It's the start to a very interesting story. The plot is unusual and I'm excited to see how it unfolds.
Read the story now
As far as things to consider, at this point, it is very heavy with dialogue, and a significant of on-the-nose material (telling the reader, instead of dropping clues and letting them figure it out). It's okay to give your readers some benefit of the doubt, and allow them to figure things out. You can do this by showing more (through action, things they do, or just what they notice).
For example: the haiku sequence. As a reader, I found myself just skipping that, because 1) I know what a haiku is, and 2) I didn't see the relevance to why it was important for the characters to describe it at detail.
How this can be improved: Drop hints to the reader. Maybe someone notices a haiku book, or quotes a line that is relevant to what they are discussing. Then the other character can say something like, "You've been reading too much of those books..." Or even just say, "Did he just quote a haiku?" and the other one just shrugs/rolls eyes/looks disinterested, etc. Then you move on with the rest of the scene.
These are just things to consider when writing! You know your story better than anyone, so with any critique, take the information that applies, and discard the stuff that doesn't. And above all, just keep writing! Good luck!