Oops, sorry I missed this!
I made my chart (in JMP 12) using Analyze > Quality and Process > Variability / Attribute Gauge Chart. I put Season followed by Weekday in the "X, Grouping" role and Forecast in the "Y, Response" role. Using the little red triangle menu you can add other things to the plot, like group means, mean diamonds, etc.
In the time trend plot you showed, I think you could illustrate the seasonal trend by legending by season -- it would become immediately apparent by color that one time of year is consistently high and one time of year is consistently low. However, I don't think you can show the annual periodicity in the same plot as the weekly periodicity, just because the weeks are too smushed-together (a technical term ;) ) to be visible on a year time scale.