it includes the moon
External forces would include gravity, pressure, heat, weather, and plate tectonics.
Electromagnetic energy is just a different form of energy. So electromagnetic energy might include potential energy. It might refer to the energy of radiation, which isn't potential energy. see external link
Earth has internal energy due to radioactivity. I am not sure what you mean by radioactive external energy, or simply by external energy. Earth gets most of its energy from the Sun.
Sun is the source of energy. Energy cycle comes from it.
The energy source behind the water cycle is solar energy. It is the only energy which initiates water cycle.
The external processes are in charge for transforming solid rock into sediment.
Solar energy is the source of energy behind the carbon cycle.
The energy that drives the water cycle is from the Sun.
I added "external" to the question
speed up or slow down the Cell Cycle