(a) That's correct. Although a person who owns land can generally use and enjoy the land as they see fit, there may be restrictions on this right. Various kinds of laws and regulations may limit the use of land, and 'zoning' is one example of this. Under zoning laws, particular areas may be set aside for particular uses, such as industrial, residential, or commercial use. Zoning regulations may also limit the type and size of buildings.
Planning schemes may also impact on land use, or permits may be required for a landowner to do specific things on their land.
It should be noted that the private owner of land does not acquire the right to minerals in the soil, which are reserved to the Crown, and only has rights to airspace above the land to the extent of what is reasonable for ordinary use and enjoyment of the land.