You shouldn't be trying to interpret data until you are sure the data are presented correctly. Excel can easily handle energies of molecular scale processes in kJ. But if you don't want to use kJ, use eV. Or use kJ/mol. As far as the "degree of polarity" goes, I'm still not sure what unit you are using. Is it the dipole moment?
Beyond that -
Let's define some terms. You may already know, but it's good to be sure.
Solvatochromism is the shift of absorption or emission color of a chromophore when the solvent is changed. It's more of a qualitative idea than something you can quantitatively measure, because a solvent change can result in a change in the absorption or emission peak maximum, the bandwidth, and the intensity, all of which influence the perceived color.
Stokes shift is the difference in energy between the lowest energy absorption peak maximum and the highest energy emission peak maximum. Although it is frequently expressed in wavelength, it is better to express it in energy units. The reason is that wavelength is not linearly proportional to energy - a 10 nm Stokes shift in the 400 nm wavelength region is different from a 10 nm Stokes shift in the 600 nm wavelength region. The best way to calculate your Stokes shift is to measured the peak wavelength of your absorption band, measure the peak wavelength of your emission band, convert both from nm to eV (or whatever energy unit you like - inverse cm are also common), then take the difference.
Strictly speaking, you can't really say much about solvatochromism from the Stokes shift data you have presented. You might infer that some solvatochromic behavior is occurring but hypso and bathochromatic shifts can both result in the positive (or negative) change in the Stokes shift.
As to why solvents influence absorption and fluorescence colors, and the Stokes shift: electrons in molecules exist in orbitals, and in colored compounds these molecular orbitals tend to be broadly delocalized over large portions of the molecular framework. Nearby solvent molecules interact with these electrons, particularly when the solvent molecules and chromophore are both polar. This interaction changes the energy of the chromophore's electronic states. When certain electrons in chromophores are excited, they are promoted from a lower lying orbital to a higher lying orbital that has some antibonding character. The energy difference between these two orbitals* determines the absorption spectral properties, which leads us to see these compounds as colored if the absorption wavelengths are in the visible region. The excited states of chromophores tend to be more highly polarized than their ground state analogs, and therefore they tend to interact more strongly with nearby solvent molecules. Actually what happens is this: absorption of light by electrons is more or less instantaneous, so that solvent molecules immediately before and immediately after absorption are basically in the same spatial position. But suddenly the solvent molecules find themselves in a very different electric field environment, and so they shift their positions gradually (actually on the subpicosecond to picosecond timescale, but that might as well be eons) around the polarized chromophore. The polarization and reorientation of solvent molecules around the excited chromophore stabilize its excited state and can lead to electronic and nuclear structural changes (lowering the excited state energy), which can cause even more solvent reorientation.** Some nanoseconds later, when the excited state spontaneously relaxes back to the ground state (via fluorescence), the emitted photon has a lower energy than the photon originally absorbed. This is the usually the cause of the Stokes shift. Because "more polar" molecules usually interact more strongly with polarized excited (fluorescing) states, they usually lead to greater Stokes shifts as well as more red-shifted fluorescence peaks (and often weaker intensity). BUT as noted above, solvent polarity is a pretty vague concept. Polarity isn't the key here, it's a complex kinetic process of solvent reorganization around polarized chromophore excited states that primarily causes the solvatochromism and Stokes shift. The solvent molecular size, electron distribution/polarizability, local viscosity, the radiative lifetime of the chromophore, etc., all play roles what the observed emission and absorption energies will be. Since you're using all kinds of different solvents here, this is probably why your trends are pretty complicated.
*It's easy to confuse orbitals and states. I'm using them pretty loosely here.
**Using time-resolved fluorescence experiments, you can actually observe these processes happening and measure how long they take.