My eyes are similar - my left eye is bluer while my right eye has more black flecks. I read it means that, in my case, I'm more right-brained (you know, right brained ppl are generally creative, left brained ppl are more logical, ect.) and my problems are more prominent on my right side.
The black lines mean a stressed organ and toxic accumulation. It means those areas aren't functioning optimally. ie. A line where your kidneys are signifies your kidneys are under great stress.