Your Staghorn Fern is an unusual-looking plant and the opposite of a succulent. It prefers a shady, damp location. It is an epiphyte, meaning that in nature, it grows up in the air attached to the damp bark of rainforest trees. However, they can also adapt to soil in pots as yours has.
There is no evidence of any pest damage. Some of the marks on the fronds are probably from some rough handling.
Keep your plant close to a north window where it can get lots of bright but indirect sunlight. Leave it in its existing pot. Let the top half-inch of soil get dry to your touch before watering it thoroughly.