I would not have guessed this was a Pogues cover. Sounds more poppy than their usual stuff.
I like Alice's voice (and your production treatment). The drums are mostly great I think, but perhaps you could lay off that darn crash a bit. ;) When you hit it, it's always for several quarter notes in a row and all at full volume. I'm finding it really distracting when it comes in.
All told, this is a great little recording, and a fun song, well performed and produced. I like it a lot.