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1) What do you mean by eccentricity of the building? you mean the deflection of the building from lateral loads or you are talking specifically about seismic design? 2) Base shear is the shear force of the building from lateral loads. This shear is produces moments and other forecs in shear walls, columns and beams...when transferred to them by the diaphragm such as slab. 3) Check the total axial force or reaction of the building under dead load and live load..See if this is what you applied in your assignments? Calculate the ditributary area of a column and multiply by its loading and check the axial force in that column. Export the displacement tables under a combination or load case to excel and check the maximum deformation. Goto last analysis run log..it should never show you that the building is unstable and ill-conditioned.. Goto response plots in display menu to see the base shear plot of lateral loads..if there is strange shape it means you have supports in intermediate levels.. Check if there is tension in the walls under wind load..etc.. there are many checks to be performed to feel confident about the building. this level varies with each building and its importance and the level of knowledge you have... i hope it will help