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This work is an extension of work reported at the 2014 DAMOP meeting, with additional data and a more detailed, extensive analysis. Current ef- forts to produce cold NaK molecules from cold atoms start with production of Fes- hbach resonances [1] followed by excitation to high-lying singlet or triplet states, and then one- or two-step possibly stimulated decay to v=0 of the X ground state. Efficient use of these processes requires an accurate and detailed knowledge of NaK energy level structure. To meet requirements of current applications we have con- structed a model based on direct fits of experimental term values to potentials and spin-orbit coupling elements. The model is now complemented by ab initio calcula- tions of the spin-orbit functions. [1] C.-H. Wu, M. Zwierlein et al., PRL 109, 085301 (2012).