Minor point, you tell us the columns include site week and then water quality estimates. Your data table has "sampling Event, and Zone". I assume zone is site and sampling event is week, but you should stay consistent with terminology.
The answer to your question "are there differences in water quality among sites?" is easy, Yes there are differences.
Whether those differences are meaningful, of practical significance or statistically different are separate questions. Have you looked at any correlation of your Y's? Should they correlate? (which ones should and should not correlate?). Are there any outliers? Mahalanobis can be used.
How much of a change in each Y is of practical significance (meaningful)? What is the measurement error for each response?
I would start with graphical analysis. I have run a couple and saved the script to the data table. You might have other graphs you prefer.
"All models are wrong, some are useful" G.E.P. Box