Using first-principles calculations we investigate the intrinsic origins of the anomalous Hall effect (AHE) and the anomalous Nernst effect (ANE) in antiperovskite ferrimagnet Mn4N. We predict that the AHE is significantly enhanced under both compressive and tensile strain; however, the ANE generally decreases under epitaxial strain, except for 1% compressive strain. We connect this behavior to the evolution of the Berry curvature with strain, suggesting similar strategies for achieving large AHE and ANE changes with modest amounts of strain. Finally, we find that the nonmonotonic characteristics of the AHE and ANE stem from the formation and movement of new Weyl points at the periphery of the Brillouin zone under compressive and tensile strains.