I think my bike may have been knocked or have fallen over recently and now I'm having a few problems with it. The back wheel runs true but is a lot closer to the left of the frame compared with the right. This has caused the brakes to rub a lot on the left side. I've tried adjusting the brake balance screws but even with the left screw (from back of bike) wound all the way in, the brake pad still rubs a little. The gears don't work as well as they used to either. They change from low to high fine but going back from high to low is really bad. Doesn't quite make the change and rubs against the next cog.
I've tried re-seating the wheel but the situation is exactly the same which makes me think that maybe one of the hangers is bent or perhaps the frame going from the seat post to the wheel is bent slightly. There's nothing obvious though. Is a bent frame the most likely cause? Any help much appreciated.