Step 1: Understanding the Concept
The red nucleus is grey matter in the midbrain linked to the extrapyramidal motor system.
Step 2: Function
It receives input from the cerebellum and cerebrum and sends signals down the rubrospinal tract.\nThis adjusts muscle tone and posture.
Step 3: Eliminate others
Breathing and heart rate are controlled by the medulla and melatonin comes from the pineal gland.
Final Answer:
The red nucleus controls posture and muscle tone.
\[ \boxed{\text{(B) }\text{control posture and muscle tone}} \]