Barcarolles have several characteristics you didnt include Usually they are in compound time The melody is in thirds or sixths The left hand has to emphasize some kind of wave motion
Longtime college music theory professor retired in 2017. Don't let anybody tell you what to call your pieces, they're yours. You can call this a symphony if you want! For some reason I would like to hear it in three beats per measure instead of 4, did you try it that way?