Thanks a lot for all the comments and advice and that you think my swing is good (well, I wish it worked on the actual course)!
I definitely sway a lot in my backswing/takeaway, which must be (one of the reasons) why I hit it too much behind or in front of half of the time. But as uttexas correctly suggested, when I do compensate with more steady legs, my ballstriking inconsistencies doesn't disappear (I even tend to lose quite some distance with lesser leg movement). But it's probably not that black and white, so I'll just have to experiment with something in between.
Do you think my head movement is a problem, cause I've gotten some comments on that before, and well, it doesn't look that comfortable haha.
By the way, I'm trying to stand closer to the ball these days, and it seems to upgrade my ballstriking a lot - that is, mind you, when I hit it properly. The inconsistency is still there. Crap. It's probably my legs.