At the time I am writing this, America has been pulling out of Iraq for some time. We are instead focusing on the war in Afganistan, because there are many there who still harbor terrorist and terrorist activity is more prevalent there.
1) America declared an end to US combat operations in Iraq (although US troops are still fighting in places and isolated operations), and that our forces were in the process of being drawn down to 50,000. Formal military control of the country was handed over to the Iraqi government last month
2) There is still a stalemate in the government over the last elections, which were so close, no one party gained a majority and two candidates for Prime Minister both claim power. There has been no violence yet, but for several months they have been unable to negotiate a settlement to the deadlock, and they have no functioning Parliament at this time.
3) There is a border dispute between Iraqi states about Kurdistan (northern region) and who controls the city of Kirkuk and its oil. Kurdistan would ultimately love to be an independent nation, and already has its own army and its own flag, but for the moment is still part of Iraq.