Sorry this had to happen.
You're giving a wonderfully accurate description of scale insects. They can be hard to kill because the shell prevents a lot of things from getting to the insect's body. If you search the
Pests and Diseases
section of this board you will find a lot of ways people get rid of them.
To be brief, when an entire collection is infested, treatment with a commercial pesticide, at intervals, for 3-5 treatments total, is likely to be the only method that helps.
You will need to take your entire collection to the bathtub. Then you will need to spray the tops and bottoms of all leaves, and soak the medium and roots. Then you will need to let them dry, and put them back. You will need to repeat this once every 10 days or so for 3-4 times total.
Repeated treatments are needed because eggs often are not killed by spraying, so you need to keep killing the newborn bugs before they mature and can reproduce.