Vitamin E deficiencies can lead to various health issues including reproduction failure, exudative diathesis, encephalomalacia, muscular dystrophy, white muscle disease, stiff lamb disease, body lipid degeneration, and peroxidation. These conditions occur due to the antioxidant properties of vitamin E, which protects cells from damage caused by free radicals. Without enough vitamin E, the body is more susceptible to oxidative stress, leading to these health problems.