During the GCI shot after the confrontation with the assassin, the backdrop can be seen through the hangar's missing back wall.
When Garibaldi answers his Link, he taps the bare skin on his hand just behind the Link near his wrist, rather than touching a button on the Link itself.
Talia Winters says that she saw an Earth Force Cruiser in Horn's memory, when actually a Destroyer is seen. One could assume that Talia is just wrong about what kind of ship, as she's not a military officer, except that Garibaldi agrees it's a Cruiser a minute later, and he's reading from the official report.
When Talia is escorted to Amanda Carter's quarters, no one checks inside. Such a check is standard procedure in any case of this type.