You cannot identify SMD ceramic capacitors by their looks. If there are still some terminal plating left, you could measure capacitance. Voltage rating would be selected according to place it's used at or just go to max available voltage rating for the size. If cap is completely destroyed, you could try looking for similarly looking cap, preferably sitting on the same power rail and measure that.
But I don't think that is the main problem. If there is corrosion somewhere under BGA, you won't be able to fix that without special equipment.