1. Claims and demands, liquidated and unliquidated, ex contractu and ex delicto, against the state or any of its agencies, which the state as a sovereign commonwealth should in equity and good conscience discharge and pay.
2. Claims and demands, liquidated and unliquidated, ex contractu and ex delicto, which may be asserted in the nature of set-off or counterclaim on the part of the state or any state agency.
3. The legal or equitable status, or both, of any claim referred to the court by the head of a state agency for an advisory determination.