Please help Newbie with ID of inherited Orchids

[FarawayNearby]

Greetings from a beginner! I have a lot of images crammed into one thread, so I apologize if I am creating too large a post!
I inherited a decent number of orchid plants. I have been taking care of them for the past 7 months, but only recently have gotten the 'bug' and have been reading, researching and repotting! I began this summer wanted to improve the appearance of three 'naked' rock gardens, and the next thing I knew, I was obsessed! I have many, many plants and flowers - it is a good thing we have a lot of land; our decks and front patio look as if the local garden center is using our property for storage. It turns out, amazingly, that I have a green thumb, this city girl does, and that plants seem to love me. The orchids that I began caring for were watered about once a week, but received no other treatment or care.
I have read so many conflicting arguments on various orchid care that my head is going to explode. My main concern is repotting the orchids that are drowning and have roots that are rotted, etc. I have a few plants that I need help with. I need to confirm WHAT they are and then I can go ahead with my repotting.
I have two plants shown in the first image. They were desiccated balls of near death when I began watering them. They are now hanging outside in our 'Orchid area' (which is heavy duty plant shelving covered in shade cloth) and are making a nice recovery. They have not been repotted for years. This second image shows part of the plant that separated from the main unit as I cleaned the old, rotted bark from its roots. There are a total of three large pieces that look similar to that one. What type of orchid is this and should I repot all the pieces in one pot or keep them separate? Is this a plant I can mount?
The second image: is this a Cattleya? Should this one be in a much larger pot or just the standard next size up?
Third image: Cattleya?
Fourth image: I have many of these little sproutling looking orchids. I am not sure which type they are -
Fifth: these are amazing! They have an odd appearance to them. What are these and can they be mounted?

I sincerely appreciate any assistance. I am on my way to purchase more media now, and can't wait to see what these special plants do in their next phase.

[Subrosa]

#1 looks like a Dendrobium, or possibly Inobulbon munificum. #2 Looks like Dendrobium aggregatum. #5 looks like Maxillaria tenuifolia

[Ray]

I agree on the dendrobium, but not the specific ID (not "hairy" enough pseudobulbs), and the other two. Hard to say about the B/W image.