A group advocating the rights of veterans from Iraq and Afghanistan are on the Hill this week to press lawmakers on issues ranging from disability care to high rates of unemployment.

Iraq and Afghanistan Veterans of America, the largest organization for veterans of the wars, will host a series of events as a part of their Storm the Hill campaign this week, culminating in Thursday’s release of their legislative agenda for 2010.

Top priorities include improving the claims processing system for disabled veterans, addressing the suicide epidemic among service members and improving the Veterans Affairs Department’s health care services for women.

This is the fifth annual trip for the group, which was founded in 2004. Starting Monday, the veterans will form teams named for the military alphabet — Alpha, Bravo, Charlie, etc. — and will meet with more than 100 lawmakers to discuss their issues.

The veterans were originally scheduled to meet with Rep. John Murtha (D-Pa.), a Marine veteran of the Vietnam War, who died Monday.