Where do you get your numbers from?
>it would pay back that power in under two years.
That's exactly the problem. This is a significant portion of the lifetime output of the panels.
>it would still produce more energy in its lifetime than putting the coal in a coal plant.
I'm not arguing that solar panels are a net negative, as you seem to be implying. I'm arguing that the energy economics of a world fuelled entirely by solar (and other renewable technologies - solar is about the worst for EROI) would look very different to what we have now.