The girl was Serbian. Goran, the Serb soldier with Guy (Quaid) was going to kill her baby. Guy was trying to stop Goran and shot him when Goran pointed his gun at Guy.
Later, the father said she should have killed killed herself and handed her a pistol, so she could do it now. Her mother and brother were sympathetic to her. Her father later let her go away with Guy.
You're right about Quaid's reason for being in Bosnia.
It's been a couple of years....it was one of those movies that was much better than I expected.
Likewise, it did show the evil on all sides, which surprised me, especially after I saw that it was an Oliver Stone production. The Muslim evil was, however, shown at a distance while the Serb and Croat evil was shown up close.