Multiple population-period transient spectroscopy (MUPPETS) is a six-pulse experiment with two time dimensions that is capable of adding information about systems with complicated kinetics. The core theory for MUPPETS focuses on the chi((5)) response of the chromophores. This theory was used to analyze the dynamics of excitons and biexcitons in CdSe/ZnS core shell nanoparticles in part I of this paper [I. Phys. Chem. B 2013, D01:10.1021/jp4057854. In real experiments, the potential role of additional processes must also be considered, in particular, the chi((7)), "saturation" of the MUPPETS signal and nonresonant signals from heating of the solvent. A pathway method for calculating fluence effects in MUPPETS is developed. The fluence dependence of the biexciton signal and its sign reversal, as found in part I, are explained without invoking higher excitons or unexpected species. A method is presented for quantitatively predicting the magnitude of signals from solvent heating using an external standard. Thermal effects in this system are found to be too small to affect the conclusions in part I. Their small size, combined with small, systematic errors in the data, also makes it difficult to measure the yield of solvent heat in these experiments.