Does aqueous component contribute to the equilibrium constant?
If you are talking about a species dissolved in a aqueous solution then yes it would feature in the constant .
However if you are referring to the solvent itself then no it wouldn't feature in the constant this is because the concentration of the solvent is constant , as well as the fact that it is present on both sides of the equation since both reactants and products are dissolved in the same solvent 
If you are referring to a partial pressure equillibrium constant , then a hybrid one will have to be created that has the partial pressure of the gases and the concentration of species that are not gases 
Using a Kc value would mean simply taking the concentration of both the gases and the solutes , to end up with a constant , however solvents are excluded because the concentration of solvents is constant and is thereby thought as being absorbed in the eq constant itself 
Derivation of the equilibrium constant requires probability and is quite lengthy so maybe you can check the video on khan academy that discusses the derivation