Rough idle and poor acceleration

My explorer had been sitting for about two weeks. I jumped in and drove several hundreds miles in three days w/o problems. On the third day as I arrived at my designation it began running rough with poor acceleration. At first there were no warning lights so I though the 4X4 drive had kick in. After work, a wrench light appeared then the check engine light. Stopped at auto parts store for a check, came back with all P codes: P0010, P0020, P0102, P0135, P0141, P0161, P0155, P0443. I opened the hood and discovered a birds nest at side of the engine compartment near the air filter and a/c. I've cleaned the area including replacing air filter and cleaning MAF sensor. When driving it will accelerate then lay down or lunge and jump. I ran Sea foam thru the fuel system to r/o but it ran better at first and would only jump when accelerating. A few hours later it was worse than before. If I clean everything good the remove battery cable for 15 min then drive it runs good at first. I only notice a slight "miss" when driving. I have no history of repairs for the Explorer because it is 6 month old purchase. Can you give me some leads where to start looking?