I wish you could provide more details on the training material you are using and if you have a study plan at all. I suspect that you may be training with the wrong material, for instance, case-in-point. If this is true, I suggest you grab the material, find a shovel, dig a very deep grave and bury the book in it. With all due respect to Cosentino, the book is outdated.
I suggest you build a study plan with Firmsconsulting. I say this because I am a subscriber to the platform. And I only made real improvements in my case practice after I stumbled upon the website. What makes them truly unique is that prepare all of their training material using Ex-Mckinsey Partners and Directors. I do not know of any platform that offers that the way they do.
That said, I am going to answer your questions directly.
With clarifying question, there are four rules that help:
Rule 1: Listen to the interviewer and not some voice in your head asking you to search your mind for clarifying questions. Don't worry about your speed now, it will improve if you focus on the right habits.
Rule 2: Don't ask clarifying questions for asking sake (because someone says you must ask). Better to remain silent and be thought a fool than to speak and to remove all doubt.
Rule 3: When you ask clarifying question, explain to your interviewer why you are asking. Else there is no point asking. In fact, if you cannot find a good reason, it is a strong signal that you are better off keeping quiet and moving on to the next thing. As your knowledge and business judgement improves, clarifying questions will come to you naturally.
Rule 4: Forget clarifying questions, work on improving your business judgement ( https://www.firmsconsulting.com/podcasts/what-is-business-judgement/)
To your second question about Recapping
I suspect this is a communication issue. When you are recapping, the interviewer expects a concise paraphrase of the problem and not repeating it word-for-word. What the interview is looking for is your ability to synthesize and not memorize. Don't worry, we have all been there before. So here is a training wheel for you to use
State the situation of the client, the complication the client is facing and the key question he/she is asking you to solve: "As I understand it, our client, a X(short description) is facing Y (problem) and what they have since is (the complication). They are wondering (the key question)"
I hope this helps!