The only one of the three equations that is the Clausius-Clapeyron equation is the first one, which relates pressure and temperature.
I do not think the second equation exists.
The third equation is the Van't hoff's equation, which relates the rate constant and temperature.
But, no dH is definitely not equal to Ea. Think about a simple reaction. dH is the change in enthalpy of the products and reactants. However, Ea is the minimum amount of energy needed to convert a reactant into a product.