Check for a clogged/frozen defrost drain. Ice buildup from a blocked drain can contribute to airflow/icing problems. Clear the drain and verify water flows freely to the drain pan.
After repair/defrosting, allow the refrigerator to cool. The HI alarm should clear once the fresh-food temperature returns to the normal range.
Likely direction: If the freezer is maintaining temperature but the refrigerator is warm, focus first on airflow and evaporator icing/defrost failure rather than the sealed system.