At the end of the episode when the Dothraki all kneel after Daenerys Targaryen stands up, the men behind her next to the horses drop completely on the ground. However, in the wider shot of the scene, the men are still standing with just their heads down. When the final shot is widened further, some of the men near the horses have disappeared.
After Ned Stark is beheaded, we see his sword, Ice, covered in blood. It's unlikely that there would be that much blood on the blade since the slice through his neck by the executioner was so clean and swift. However, it's plain that it was done for dramatic and visual impact.