I've not specifically encountered a grammar explanation of「か」formalised in this way, but, from what this page says, I wouldn't view it as a separate use of か - it still fundamentally marks a question.
The difference is rather the sort of question it marks. It just seems that these are rhetorical questions (i.e. those questions which don't require a response), and, in these specific cases, the questions have the obvious answer of "no" from the phrasing. Putting it another way, all of the questions require no answer, as the view of the speaker is made clear from the phrasing/information they choose to include earlier on.
Example 3 I think is the clearest to understand in this way, but all of them seem to follow the pattern of essentially answering the question before it is posed.
③ こんなくだらない番組、３時間も見ていられるか。
Structural translation: Can I watch such a stupid program for as much
as three hours? (No!)
What I understand: I can't imagine spending a whole three
hours of my life watching such a stupid program.
In this case, the 「こんなくだらない」/ "such a stupid" is the key piece of information given that essentially answers the question. If this information weren't given (and replaced, say, with 「この」/ "this"), the question could still be rhetorical (in so far as it would not actually require an answer), but it would be more open to interpretation. For instance, perhaps the speaker is wondering if they actually have the time to watch the program for 3 hours. Or, it might be expressing a similar sentiment, that the speaker thinks they would grow tired of its stupidity.
As such, I can understand why they are explaining this as a separate grammar point, but on a practical level, if you have ever asked rhetorical questions, it isn't really a separate grammar point. Rather, it just indicates that questions can be made rhetorical with minimal grammatical adjustment in Japanese, as is the case in English.
Regarding your second question over where you might find translated grammar patterns for the TRY N1 grammar book, I don't know, but regardless, I think that specific question is 'off-topic' for this site, as it concerns resources. For what it's worth, I would say that if you are studying towards the N1 exam, and so are clearly of upper-intermediate/advanced ability in Japanese, you should be able to supplement your study of this book with a wide range of other resources (whether in English, in Japanese, or another language you know).
