What do these District Officers do?

They run the Re-Organization meetings, District Assemblies, Central Committee Meetings and Vacancy Committee meetings (if necessary) for their districts, all of which happen on a seldom basis. They serve a two-year term. Because their role is so limited, they do not have voting rights in a Central Committee meeting, unless they happen to serve in another voting capacity. The exception being Congressional District Chairs and co-Chairs are automatically members of the State Central and State Executive Committees.