Weather is a class of phenomena, it is a bunch of different things that people group together. It doesn't really exist except in our minds. When you turn on a flashlight, the charges that are already within the wires will begin begin to flow. The light bulb lights up, and the whole thing is a current-electric happening. In professional circles it is actually called Electrostatics.
Static electricity is the study of electric charges and the way they separate and combine.
Static Electricity studies the attraction and repulsion between charges, and the invisible electrical fields they create. Current Electricity is the study of the flowing or wiggling of charges, of the magnetic attraction and repulsion they create, and of the way they can move energy around. It is misleading to say that they are energy, because this gives everyone the wrong idea that electrical charges are energy. Charges are not energy, they are matter, they are the electrons and protons which make up all atoms. It is misleading to say that 'static' and 'current' are energy, because it will lead us to believe that classes of phenomena are energy.