Yes, Iraq has both a President and a Prime Minister.
Sargon Lazar Sulaywah is the Minister of Environment for Iraq.
Ali Al-Shukri is the Minister of Planning for Iraq.
Khayrallah Hasan Babakir is the Minister of Trade for Iraq.
Nuri Al-Maliki is the Prime Minister for Iraq.
Majid Hamad Amin Jamil is the Minister of Health for Iraq.
Abd Al-Karim Luaybi is the Minister of Oil for Iraq.
Hadi Farhan Al-Amiri is the Minister of Transportation for Iraq.
Hasan Al-Shammari is the Minister of Justice for Iraq.
Muhammad Khalaf Tamim Al-Juburi is the Minister of Education for Iraq.
Hoshyar Mahmud Zebari is the Minister of Foreign Affairs for Iraq.
Muhammad Shia Al-Sudani is the Minister of Human Rights for Iraq.