Cranial Nerve XI (eleven) is know as the spinal accessory nerve and is responsible for the action of shoulder shrugging by way of its innervation of the trapezius muscle.
The function of this cranial nerve may also be tested by asking the patient to turn their head to the left and right and by resisting this motion by placing your hand on their chin (the muscle tested in this second scenario is the Sternocleidomastoid, SCM).
Cranial nerve XI (Accessory nerve) innervates trapezius and sternocleidomastoid (SCM) muscles. Trapezius muscle controls shrugging of the shoulders and SCM - turning the head laterally (side to side)
Accessory
The vestibulocochlear cranial nerve controls hearing.
8th cranial nerve - vestibulocochlear
auditory nerve
The Olfactory nerve. CN1 Cranial Nerve I, or the first cranial nerve called the Olfactory nerve.
The Cranial Nerves that helps in shrugging of shoulder is the XI Cranial Nerve Nervus Accessorius or Accessory Nerve that innervated the Trapezius Muscle
I believe that the vestibulocochlear nerve controls balance and hearing.
The Trigminal Nerve (V)
CN X (Vagus)
Occulomotor nerve (CN III) controls levator palpebrae so yes, the eyelids are controlled by cranial nerves.
Vagus (X)
Nervus trigeminus (V)
oculomotor, trochlear, abducens