Nice tune - drums need to come out front and up in the mix. Interesting tune - well written.

The thing with all your stuff Bjorn is it has your signature sound which is cool in my book.

Enjoyed this though possibly the double tracking all through is just a little OTT but you song your choice, thanks for sharing.

I agree with the comments above that the drums are a bit distant sounding and the lead guitar a little loud, but mix-wise that's about it for me.  I did like the lyrics - then again I usually do!  As for the vocals themselves, I'm with Bill - I can't decide if I like the doubling or if it's distracting.   Or maybe it's both, depending on the line/phrasing...   
 
Just curious - have you tried singing in a higher or lower register?   I know you do have a naturally breathy voice, I'm just wondering if you could get more of that Bing Thing going if singing outside your comfort zone.  Just a thought.
 

The vocal double reminded me of vintage Elliott Smith - I think it works fine.  I agree with a couple of the other guys that the drums need to be brought forward a bit in the mix.  Maybe the bass too.