The upper portion of the freezer turns off, causing the ice to melt. And the cooler side bottom drawer turns into a freezer. I can't figure out what's going on.

You have a frost blocked evaporator. Translation: The cooling coils, located behind the back wall inside the freezer section, have plugged up with frost (usually caused by a burnt out defrost heater, located at the bottom of these coils) which prevents the cold air from circulating inside the freezer, and into the top of the fresh foods section. At the same time, this blocked air flow allows very cold air at the bottom of the freezer section to migrate back into the bottom of the fresh foods section, and thus freeze item in the bottom bins of the refrigerator. Unload the freezer, take the shelves out and remove the back panel. Melt the frost with a hair blower, and change out the heater at the bottom.