Baghdad Airport
It doesn't seem clear the control of the USA forces over Baghdad's airport, according to this report, from a site in Russia:
During the fight Iraqis lost up to 20 tanks, 10 APC, about 200 men killed and up to 300 wounded. The American losses were up to 30 men killed, about 50 wounded, at least 4 tanks, 4 APC and 1 helicopter. But it is impossible to obtain the exact data yet. By this hour there have been more than 20 flights for evacuation of killed and wounded coalition soldiers and the command have requested ambulance aviation again.
But most troubling of all, this is the analysis that echoes the sentiment of many senior officers in the USA army:
Despite the exchange of strikes there are no reasons to expect any serious attempts to capture the city in the nearest future. By numerical strength the coalition troops that have reached the city borders do not meet even the minimal requirements for storming and heavy urban fights. Coalition forces by Baghdad number up to 18-20 thousand men and can be enforced with no more than 3-5 thousand men while the minimal force necessary to capture a city like Baghdad equals from 80 to 100 thousand soldiers.
This is via Kuro5hin