**Core Concept**
Antiphospholipid syndrome (APS) is an autoimmune disorder characterized by the presence of antiphospholipid antibodies, which can lead to thrombosis and recurrent fetal losses. The clinical presentation of headache, recurrent abortions, and cavernous sinus thrombosis is classic for APS.

**Why the Correct Answer is Right**
The presence of antiphospholipid antibodies in the patient's blood can lead to the formation of blood clots in various parts of the body, including the cavernous sinus, which can cause headache and other neurological symptoms. Recurrent abortions are also a common feature of APS due to the formation of blood clots in the placenta, which can lead to fetal loss. The clinical diagnosis of APS is typically made based on the presence of antiphospholipid antibodies and the presence of clinical criteria, such as thrombosis and recurrent fetal losses.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because it does not mention the presence of antiphospholipid antibodies, which is a key feature of APS. While other conditions can cause thrombosis and recurrent abortions, the combination of these symptoms with the presence of antiphospholipid antibodies is highly suggestive of APS.
**Option B:** This option is incorrect because it does not specify the presence of antiphospholipid antibodies, which is essential for the diagnosis of APS. Other conditions can cause thrombosis and recurrent abortions, but the absence of antiphospholipid antibodies makes this option less likely.
**Option C:** This option is incorrect because it does not mention the presence of antiphospholipid antibodies, which is a key feature of APS. While other conditions can cause thrombosis and recurrent abortions, the combination of these symptoms with the presence of antiphospholipid antibodies is highly suggestive of APS.
**Option D:** This option is incorrect because it does not specify the presence of antiphospholipid antibodies, which is essential for the diagnosis of APS. Other conditions can cause thrombosis and recurrent abortions, but the absence of antiphospholipid antibodies makes this option less likely.

**Clinical Pearl / High-Yield Fact**
APS is a common cause of recurrent fetal losses and thrombosis in women of childbearing age. The presence of antiphospholipid antibodies is a key diagnostic criterion for APS, and testing for these antibodies should be considered in patients with a history of recurrent fetal losses and thrombosis.

**Correct Answer: C. APS (Antiphospholipid Syndrome)**