Of course wages were flat or down, there hasn't been a particularly strong - or sustained strength - labor market since 2000. In the 2005-2007 time frame there was a brief respite, and that of course was not only fake (powered by the housing bubble) but crashed.

Fact is, once enough slack is removed from a labor pool, wages rise. Happens every time.

It's exactly what occurred in the 1980s and 1990s. Wages weren't booming in the 1990s until the unemployment rate got to a certain low level toward the last several years of the decade.

I wouldn't expect wages to rise when U3 unemployment is 7% or 8%. I would expect to see it at closer to the 4% to 6% range. That's historically what has been the case, and we're seeing it happen again right now. If we add another ~3 million jobs in 2015, wages will rise at a healthy clip.

Neither income nor unemployment is back to previous normal levels. How exactly is this evidence that there's no correlation between the two?

Your data is for households. One recent trend is that households are getting smaller which skews household statistics.