I like it, but the rhyming scheme of the first two stanzas compared to the rest being couplets bugs me. It seems to go AB CB DD EE FF... etc. Also don't forget that there's the poem format you can use. Just put "poem" at the start and "/poem" at the end, each surrounded by < and >.
I really wish I'd done this as an actual story. I don't know what exactly it is, just something about the poem feels really cheesy in hindsight. I think it's the rhyming scheme, as you've mentioned, but also the rhymes themselves. They feel quite forced, something I didn't seem to pick up on when I first wrote this.
I'm probably either going to re-write this as a regular pasta, or fine-tune it so it fits better as a poem.