I did not have a chance to look at your dataset, but thanks for posting it. My first guess is an RSquare of 1 simply means your model is saturated. That is, every available degree of freedom is assigned a model effect. As you remove terms from the model, you will get an RSquare and an RSquare adjusted as well as p-values etc. There are a number of methods used to determine significance of unreplicated designs: Normal plots, Pareto plots, Bayes plots, etc.
"All models are wrong, some are useful" G.E.P. Box