The reason why I pose this as a question is because I don't know if the district which is already in Pakistan was just renamed (from Islamabad to Karachi) or this is a new district (which would be the second in the country).
According to the Church's official website for the Hong Kong China Temple District http://www.lds.org/temples/district/0,11217,1915-1-84-2,00.html, the Karachi Pakistan District is now listed. There has been a district functioning in Pakistan since the mid 1990s and has been named the Pakistan District and later the Islamabad Pakistan District. In 2001 five of the six branches at the time where in the northern part of Pakistan and under the name of the Islamabad Pakistan District. The district was listed under the temple district for the Hong Kong China Temple and was removed a couple years ago (as were other Church units in areas of the world which are not so tolerant to the Church). Considering the majority of the branches in Pakistan are in the northern part of the country, the Karachi Pakistan District seems to be a new district created considering the city of Karachi is about 500 miles away from the closest branch in the north. However, as of 2001 only one branch was in the city. Districts have at least two branches. Another bit of information which supports the fact that this could be a new district is that other Church units in other places in the world which were taken off temple district listings a couple years ago were not put back on the temple district lists.
The Church only has Pakistani missionaries in Pakistan and they meet only with Christian Pakistanis. Pakistan is under the recently created India New Delhi Mission.
If anyone has any information about whether this is a new district of the Church, please leave your commit.