Got this bit of info of the BASC website if it clarifies the situation:
Restrictions on the taking and killing of rabbits and hares
The night shooting of rabbits and hares by tenants or occupiers of land, who are not the owners of the land, are subject to the following restrictions (the restrictions do not apply to landowners).
Landowners need to be aware of the legal restrictions of shooting hares at night:
The Wildlife and Countryside Act 1981 amended Section 6 of the Ground Game Act and Section 50 of The Agricultural (Scotland) Act 1948, to allow night shooting of ground game u