Hmmm ... well let me first say that I don't agree that your voice is unique in a bad way. I think you have a pretty nice voice, and I would argue that it's not terribly unique (but not in a bad way, lol). I mean, there are some people that don't have a terribly unique voice, but it doesn't detract really (like ... I don't know ... most country singers I guess). Anyway, that's all subjective anyway. I think your voice is good, and I personally don't think you need to feel insecure about it. It's good and it will only get better.
The issue I had with this is kind of two-fold.
First, IMO, I don't necessarily think the quirky second chord in the verse sets the mood very well for these particular lyrics. I found it distracting and it seemed as though it got in the way of the story.
Secondly, I think the melody could have a greater scope. It pretty much stayed within the same range of about a 4th (F to Bb) throughout the whole piece. I kind of wanted to hear it blossom a bit more somewhere. The Bb note was a little worn out IMO.
I really like the idea of the banjo and liked the part, but it sounded really dark and a bit muddy to me.
Other than that, I liked the basic recording sound, I liked the story, and the vibe was cool. Nice job.
my 2 cents