1. Equilibrium constant only changes with changes in temperature. Adding an inert gas will only change the pressure of the system. The addition of an inert gas will not affect the reaction rate, since even though there is an increase in pressure, the relative concentrations of the reactants stays the same.
2. In a galvanic cell, with say X/X^+2 half cell and Zn2+/Zn, where X^+2 is reduced to X, you begin to accumulate Zn2+ in one half cell and negative anions in the other. This effect is called polarisation and the redox reaction is interfered by this build-up of charge in each cell. Hence, a salt bridge such as KNO3 is used not only to complete the circuit, but to allow K+ ions to move to the cathode to balance the negative anion build up, and nitrate ions move to the anode to balance out the Zn2+
3. Doesn't have to be potassium hydroxide, just has to contain hydroxide ions
4. Not too sure. Dynamic equilibrium i believe is when a system is at equilibrium but the forward and back reaction are still occurring; just at the same rate so nothing ACTUALLY happens. Equilibrium could just mean no reaction will occur, but when exams refer to equilibrium its usually just dynamic equilibrium