I don't know if you can see, but on both sleeves, there have been two small velcro squares that have been either glued or sewn on. These would have been for the attachment of glint tape.
As far as the 1st MARDIV patch on the right sleeve, these were authorized as combat patches for US Army units who were attached to US Marine units. The 2nd Infantry was attached to the USMC during their 2004/2005 deployment to Iraq.
Here is a little history of the 2nd ID in Iraq:
From November 2003 to November 2004, the 3rd Brigade Stryker Brigade Combat Team deployed from Fort Lewis, Washington in support of Operation Iraqi Freedom. In the sands of Iraq the 3rd Brigade Stryker Brigade Combat Team proved the value of the Stryker Brigade concept in combat and logistics operations.
In August 2004, the 2nd Brigade Combat Team deployed to Iraq where they worked side by side with the Republic of Korea Army; just as it had while stationed in Korea. This deployment was unique in that it was the first operational deployment from the Republic of Korea.
In Iraq, the 2nd BCT was given strategic command to much of the sparsely populated area South and West of Fallujah. Their mission, however, changed when the major strategic actions began to take place within the city of Fallujah. The 2nd BCT was refocused and given control of the eastern half of the volatile city of Ar-Ramadi. For this mission, the Brigade fell under the direct command of the 1st Marine Division and for the second half of the deployment they were attached to the 2nd Marine Division. This command structure was ironic in that during World War I the 5th Marine Regiment and the 6th Marine Regiment of the 1st Marine Division had fought under the US Army's 2nd Infantry Division.
The 2BCT fought in the Fallujah offensive in November 2004 and provided Iraqis the opportunity to vote in the historic national elections of January 2005. They spent the past year helping the citizens of Iraq build a secure future by battling the insurgency and establishing more favorable conditions for the emerging democratic Iraqi government. The 2BCT also trained and partnered with thousands of Iraqi Security Force soldiers, enabling them to better secure their country. Additionally, the 2BCT provided humanitarian relief to hundreds of displaced civilians, schools, hospitals, and the underprivileged across its area of operations. In August 2005, the 2BCT redeployed from Iraq to its new home at Fort Carson, Colorado.