I have a few very large
Common Staghorn Fern (Platycerium bifurcatum) in my yard; they are definitely shade only plants, enjoying bright light but no direct sun, which will dry them out and fry the fronds. A few in my yard are attached to and growing on the trees while another one is growing on a large chicken wire platform with a wood frame that hangs in one of the oak trees. I thoroughly soak all of them once a week with the garden hose. They are high humidity plants so they love the Florida climate.
If you are keeping your plants indoors, I'd advise watering them thoroughly by dunking them in the kitchen sink and then shake off all excess water before placing them back in a brightly lit location.
In your second set of photos, the plant on the right appears extremely dry and the sphagnum moss appears dry and compacted. Hopefully you will be able to re-hydrate that moss by soaking the plant for awhile.
