I don't know if this is the latest version, but the errors are not perfectly fixed yet in the edition of June 4, 2013.
ラジオを壊してしまった。
"(I) broke the radio... (and that's something I wish I hadn't)."
In this line, it should be obvious why the fact that 壊せる, "break", having been completed is a bad thing.
The example sentence is changed to 壊してしまった correctly, but the dictionary form in the explanation is still 壊せる, not the correct one 壊す.
妹が起こさせました。
"My (younger) sister woke me up."
に is changed to が here, but the problem I pointed out previously is not solved yet. As I wrote, 妹が起こしてくれました (or the passive of adversity 妹に起こされました for when the speaker didn't want to be done) is far more commonly used for this case, and 妹が起こさせました。 means more likely "My (younger) sister made me(or someone) wake someone (or me) up".
社長がプロジェクトを受けさせました。
"(The) CEO let me take on (the) project."
This sentence could technically also mean "The CEO caused me to take on the project" or "The CEO made me take on the project", so context is all-important. However, in most cases where it could either be a forced action or a permission, it's usually a permission.
I don't agree with this explanation. Other expressions such like 任せてくれました or やらせてくれました are far more common for a permission, and 受けさせました is more likely mostly used for a forced action.
I haven't read the whole book, so I can't judge the quality of it, but at least these examples and explanations are not decent.