3. In that case, I'd say it just redistributes energy
The only physical mechanisms of heat transfer that applies to the energy balance between Earth and its surroundings (space) is radiation. Radiation really just depends on the temperature of the radiating body, and this storm doesn't make any real difference to Earth's temperature.
4. It doesn't remove energy from the planet, but it does cool it a little.
Storms convert heat energy to other forms, mostly wind - the total energy contained in the system doesn't change, but the temperature does decrease. A tiny bit. Not enough to affect global warming, though.