Freeezes vegetables milk etc. even with refrig

Have you made sure that the door to the ice maker area is closed and tighly latched? If the door is not pushed closed so that you hear the latch snap shut, colder air from the ice room will leak past the gasket and result in freezing in the bins and / or on the bottom refrig shelf. Another possibly might be air leakage at the very back bottom of the refrigerator section, where the air tower comes out from the freezer section.