I wouldn't bring a list of questions or spend time writing things down during the interview. You want to be focused on the person/people who are doing the interview. I can't imagine what sort of information you would need to write down. Do you want those doing the interviewing to sit there saying nothing until you finish writing down whatever that is? As an interviewer, I would find that very awkward. Think about what you might like to ask ahead of time is good preparation, but you should have those in mind without having to look at a piece of paper. Sometimes your questions will relate more to the interview and things being discussed which you wouldn't know ahead of time. It would be distracting for the person being interviewed to be writing things down and I can't really imagine a situation where you would want/need to do that.
I can recall one time a few years ago interviewing someone for an open position. They brought with them a list of questions they thought might be asked along with the answers and had to look their 'notes' to read the replies they had prepared ahead of time. Clearly that person did NOT get the job. People are judged during an interview not only by what they say but how they handle themselves. Interviewers like to see that the person is adept enough to speak to whatever is being asked.