The mechanisms of interfacial instability due to gas-liquid shear and liquid ligament acceleration that occurs in the near-field of a coaxial two-fluid atomizer play a determining role on the spray characteristics in the far-field, making understanding of these near-field physics key for spray modeling. Several metrics for these physical processes, with an emphasis on the liquid core length, are characterized in detail, using high-speed shadowgraphy, over a wide range of gas-to-liquid momentum ratios, comparing the fluids' dynamic pressures at the exit of the atomizer. A method that does not require arbitrary thresholds is proposed to rigorously define the initial spreading angle of a spray. The effect of adding azimuthal momentum to the gas co-flow (swirl) on the spray near-field is analyzed, and the possibility of periodic oscillations of the swirl is explored. Increased spreading angle is expected when swirl is present, but a decrease of the liquid core length average and standard deviation is also observed, with variations happening over timescales shorter than the actuation period. The overall effect is a wider, more dynamic spray,