Third Cranial Nerve (Oculomotor Nerve) Palsy: This condition is a likely cause given the symptoms of eye deviation and blurry vision. The oculomotor nerve controls several muscles that move the eye and constrict the pupil. Damage to this nerve can result in the inability to move the eye normally, leading to deviation and potential blurriness due to uncoordinated eye movements. The history of epilepsy could be relevant if seizures have caused or contributed to nerve damage.

Fourth Cranial Nerve (Trochlear Nerve) Palsy: Similar to the third cranial nerve palsy, but this nerve controls the superior oblique muscle, which helps in rotating the eye. Damage here could lead to vertical diplopia (double vision) and eye deviation, though the presentation might slightly differ.
Sixth Cranial Nerve (Abducens Nerve) Palsy: This nerve controls the lateral rectus muscle, which moves the eye outward. Damage could result in inward deviation of the eye (esotropia) and diplopia.
Myasthenia Gravis: An autoimmune disease that affects nerve-muscle connection, leading to muscle weakness. Ocular symptoms can include double vision and eye deviation due to weakness of the extraocular muscles.

Aneurysm or Arteriovenous Malformation (AVM): These vascular abnormalities can compress or damage cranial nerves, leading to palsy. Given the potential for sudden worsening and the severity of these conditions, they must be considered, even if less likely.
Pituitary Apoplexy: A condition where the pituitary gland suddenly hemorrhages or becomes infarcted, potentially compressing nearby structures including cranial nerves. This is a medical emergency.
Stroke or Cerebral Vasculitis: Though less common in young individuals, these conditions can cause sudden onset of neurological deficits, including cranial nerve palsies.

Tolosa-Hunt Syndrome: A rare disorder characterized by headache, pain on the same side of the face as the affected eye, and cranial nerve palsies, including those affecting eye movement.
Gradenigo’s Syndrome: A rare but serious infection of the petrous apex of the temporal bone, which can lead to a combination of symptoms including cranial nerve palsies (notably the fifth and sixth nerves), pain, and other neurological deficits.
Wernicke’s Encephalopathy: A condition associated with thiamine deficiency, often seen in alcoholics, but can occur in other conditions leading to malnutrition. It can present with ophthalmoplegia (weakness or paralysis of one or more extraocular muscles), among other symptoms.