what duties does the home secretary have to parliament
Home Secretary The Home Secretary is responsible for the internal affairs of England and Wales, and for immigration and citizenship for the United Kingdom. The remit of the Home Office also includes policing in England and Wales and matters of national security, as the Security Service (MI5) is directly accountable to the Home Secretary.[1] Formerly, the Home Secretary was the minister responsible for prisons and probation in England and Wales; however in 2005 those responsibilities were transferred to the newly created Ministry of Justice under the Lord Chancellor.
Secretary of State (United Kingdom) In the United Kingdom, a secretary of state (SofS) is a Cabinet minister in charge of a government department (though not all departments are headed by a Secretary of State, e.g. HM Treasury is headed by the Chancellor of the Exchequer).