Which two conditions can lead to disqualification in a show rabbit?

Open sores and nasal discharge are critical health indicators in rabbits and can lead to disqualification in a show setting. Open sores suggest that the rabbit may have sustained injuries or be suffering from skin diseases, which not only impacts the rabbit's immediate health but also raises concerns about the overall hygiene and well-being of the animal. Additionally, nasal discharge can indicate respiratory problems, which could signify illness. Both of these conditions compromise the welfare of the rabbit and do not meet the standards of health expected in show competitions.

The other options focus on characteristics that may not necessarily compromise health or welfare but rather relate to subjective factors like size or temperament, which while important, don't have the same immediate health implications that open sores and nasal discharge do. Thus, for a show rabbit, maintaining a healthy physical state is paramount, and conditions that may indicate a health issue are treated with utmost seriousness.