You're generally right. Total comp has increased, not stagnated, but only because employers have shifted compensation from wages to benefits (like healthcare). Companies don't pay payroll taxes on those, so I assume they like this arrangement, even though it causes all sorts of problems when you couple job + healthcare.
Healthcare is the new company car.
Total compensation (including non-wage benefits): http://research.stlouisfed.org/fred2/series/RCPHBS
Cost index (attempts to control for composition changes): http://research.stlouisfed.org/fred2/series/ECICOM