Can food allergies cause intestine, tonsil inflammation and facial and scalp hives?

Hives. Food allergies can cause skin reactions such as hives, but tonsillar involvement would be unusual. Allergic manifestations in the oral cavity include uvula swelling and throat itching as well as laryngospasm. Food allergies can also cause eczema.
Yes. Hives can happen anywhere on the skin including face and scalp. There is such a thing called eosinophilic esophagitis which is a food allergy that presents with inflammation in the esophagus. Also, there is an entity called oral allergy syndrome, where there is an allergic reaction in the mouth related to certain foods.