**Core Concept**
The question tests the understanding of **visual field defects** and their correlation with **lesions in the brain**, specifically focusing on the **visual pathway** and **cerebral control of eye movements**. A right homonymous hemianopia indicates a lesion posterior to the optic chiasm, affecting the optic tract, lateral geniculate nucleus, optic radiation, or visual cortex.

**Why the Correct Answer is Right**
Given the symptoms, the lesion is likely affecting the **parietal lobe**, which is involved in the control of **saccadic eye movements** and **optokinetic nystagmus**. The parietal lobe plays a crucial role in integrating sensory information to guide eye movements, and damage to this area can result in impaired pursuit movements and defective optokinetic nystagmus.

**Why Each Wrong Option is Incorrect**
**Option A:** This choice is incorrect because a lesion in this area would not typically cause the combination of symptoms described.
**Option B:** Similarly, this option does not correlate with the specific visual and eye movement defects mentioned.
**Option C:** This choice is also incorrect as it does not match the symptoms provided.

**Clinical Pearl / High-Yield Fact**
A key point to remember is that **homonymous hemianopia** often results from lesions in the **optic tract**, **lateral geniculate nucleus**, **optic radiation**, or **visual cortex**, and when combined with specific eye movement abnormalities, it can help localize the lesion to areas involved in eye movement control, such as the **parietal lobe**.

**Correct Answer:** D. parietal lobe