Final answer:
The correct conditions that prohibit a facial massage are A) Acne, sunburn, and eczema, as they can all be exacerbated by the pressure and manipulation during the massage.
Step-by-step explanation:
Conditions that may prohibit a facial massage include those that are characterized by significant inflammation, open lesions, or high contagion risk. The correct answer to the question is: A) Acne, sunburn, and eczema. These conditions may be adversely affected by the manipulation and pressure involved in a massage. Facial massage should be avoided as it can exacerbate these conditions - acne can result from clogged sebaceous glands and can lead to infection and inflammation; sunburn represents injured skin that needs gentle care; and eczema, which is an inflammatory condition, can be irritated by friction or pressure.