What remedies are available in the first instance?

Constitution 1996,Articles 92

There shall be aSupreme Court of Zambia which shall be the final court of appeal for theRepublic and shall have such jurisdiction and powers as may be conferred on itby this Constitution or any other law.

http://aceproject.org/ero-en/regions/africa/ZM/Constitution%20of%20Zambia%201996.pdf/at_download/file