You a balance of carbon/nitrogen not wet/dry. The entire pile should be moist not wet. I would not add any inorganic material like rocks and styrofoam to it. Like Jean said you want to use newspaper be sure to tear it up or run through a paper shredder and mix it in real well. Wet newspaper tends to mat up and doesn't decompose well if is just thrown in all together.
To me the best way to keep it aerated is just to turn with a shovel/pitchfork or if the pile is to large use an aerating to like this.
Yard Butler ICA-36 Compost Aerator