Between these vertebrae are discs and nearby pass the nerves of the neck. Within the neck, structures include the neck muscles, arteries, veins, lymph glands, thyroid gland, parathyroid glands, esophagus, larynx, and trachea. Disease of any of these structures can lead to neck pain.etween these vertebrae are discs and nearby pass the nerves of the neck. Within the neck, structures include the neck muscles, arteries, veins, lymph glands, thyroid gland, parathyroid glands, esophagus, larynx, and trachea. Disease of any of these structures can lead to neck pain.