Really large staghorns such as this one
@Eseiger69 are usually not very "beautiful" plants. It is just the nature of them having so much dead tissue (basal fronds). You do have an insect problem and if you are seeing spiders, that's another thing to deal with other than the typical insects. I would use Bayer 3 in 1 because it has an insecticide, fungicide, and a miticide. Follow directions.
The reproductive fronds are normally covered in a fine, white, fuzz and you don't want to remove that fuzz.
Have you considered cutting this huge glob of plants back, removing the healthy (individual) plants and discarding the rest? You would end up with numerous smaller plants and you could mount each one as you wished. Individual plants would not only be more beautiful (and probably healthier) but far easier to care for.