Yikes recycling plants.......harsh environment. Some of the Perkins had removable piston sleeves. They would have hair line cracks in them and cause condensation in crankcase. Same for a cracked head and/or head gasket - compression test will determine that. As for the rad and trans......looks like a leak in the trans cooling side of the rad. I would flush rad and pressure test. The engine would build up pressure in the cooling system causing the coolant to leak into the trans cooling lines. Is the White goop coolant or pure water.