Actually, the explosive (or "bursting") charge in a 16" Mark 8 cannon shell was no more than 153 pounds of HE. The HC, or high capacity, shell, weighed 1900 pounds, with 153 pounds of explosive. At max range of 37,000 yards, it could leave a crater 50 feet across and 20 feet deep, and the lethal radius for concussion and shrapnel was over 300 feet. HC rounds were used for soft target shore bombardment (vehicles, personnel and unarmored structures) AP, or armor piercing shells weighed 2700 pounds, with a bursting charge of only 41 pounds of HE. At 35,000 yards, they could penetrate 30 feet of reinforced concrete, or 14 inches of steel armor plating. Much of their destructive force was the kinetic energy of their mass, travelling over 2000 feet per second (muzzle velocity was 2700 fps, and the shells were actually accelerating from their ballistic apex after slowing to below 2000 fps (max range). AP shells were used against hardened shore targets and other ships.
As for accuracy, a salvo of shells didn't really need to hit close to each other to create widespread damage, but for the technology of the day, and at the ranges fired, they were quite accurate with good forward artillery spotting. At max range, these guns were shooting beyond the visible horizon, so the gun directors aboard ship were essentially useless, and the aiming depended on ballistics tables and shore-directed fire or spotter aircraft. At closer ranges, within line-of-sight, they were very accurate. Ship's motion was accounted for, the guns were stabilized much like the main gun on the M1 Abrams, and could maintain aim while the ship rolled and pitched. The difficulty in hitting a moving ship from another moving ship was complicated in part by the travel time over the distances the guns were fired. At max range, travel time could be in excess of one and a half minutes. At even half this distance, ships could maneuver quickly enough to make precise targeting difficult.
I took this information directly from the definitive text on the USS North Carolina, written by her chief intelligence officer, who served aboard her the entire war. The North Carolina and South Dakota class ships mounted Mark 7 16 in/45 caliber guns, where the Iowa class had the Mark 8 16 in/50 caliber guns. They both fired the same type shells, but the longer barrels of the 50 caliber guns gave slightly greater velocity and range.