The Chinese characters for "Blue Sun" change from throughout the series. On Jayne's T-shirt, "Blue Sun" is Qing Ri, but in logo signs, it's Lan Ri. In ancient China, as well as Japan, green and blue were seen as different shades of the same color. The character Qing was used to represent both green and blue. In modern China, Lan is the character used for blue.
In commentary for Firefly: Shindig, costume designer Shawna Trpcic states that Gina Torres wears her lariat necklace "binding" her neck as symbolic of her marriage bond. However, Zoe is shown wearing her lariat necklace in the flashbacks of Firefly: Out of Gas, which take place before Zoe meets her future husband.