Typically, deflection is a service limit state, while moment and shear on the shaft would be strength limit states. It can be somewhat difficult to reconcile the LRFD limit states if the geotech capacities were calculated using ASD. If that's the case, to do it 'right', you really need to know what reduction factors were applied in the geotech analysis, so that you can start with the ultimate capacities and apply the correct LRFD resistance factors. Otherwise, I would suggest assuming the ASD values given are similar to the LRFD capacities with the resistance factors applied.
Soil properties are difficult, sometime impossible, to determine with even a moderate degree of accuracy, so particularly when calculating the max moment, I advise hedging to the low side of the soil stiffness; it usually just means a little extra reinforcing in the shaft - cheap insurance as far as I'm concerned.
Sorry, I just noticed you said you're analyzing an existing pier. For that, I recommend starting at the low end of the possible soil stiffness, and see if it's adequate. If it is, life is good. If not, sometimes more extensive soil testing may be warranted, to narrow down the soil properties.
Rod Smith, P.E., The artist formerly known as HotRod10