[couchand]

Your first bullet point is so well known it's called the "Peter Principle" [0].

EDIT: There's also the corresponding "Dilbert Principle" [1] which states that incompetent employees are promoted intentionally to remove them from the productive flow.

[0]: https://en.wikipedia.org/wiki/Peter_Principle [1]: https://en.wikipedia.org/wiki/The_Dilbert_Principle