NOTE; the following questions will be answered mostly in canon verse,  if  there´s something  that wont be fitting  in it,  then it will be answered as modern.  ALSO,  this is the mun´s interpretation of the muse, by all means I´m  not  claiming things to be this way,  please know to respect the mun´s interpretations.
9. What about political beliefs?
 He simply follows the Queen´s orders, I guess that´s all I have to say⌠he knows Queen Victoria is capable of running the country, and knows damn well what she does, so yeah⌠he knows that someday, sooner or later, she may request for him to die, but meanwhile, it´d be wiser to keep her close and follow her wishes, as any watchdog would do.
10. Is your character street-smart, book-smart, intelligent, intellectual, slow-witted?
We can easily assume Ciel is quite intelligent for his age; given the fact he had to grow up quite fast to accept the title of Earl, and take care of the company, he indeed studied more than a child his age to be able to run said company. Which means, he is book-smart, intelligent, and intellectual. When resolving cases he is able to decipher the clues ( with Sebastian´s help at times ); besides, he´s constantly being pushed by Sebastian to use his mind, his intelligence, go beyond his own beliefs and think possible situations or reasons for certain topic/thing. I mean, we see in the Murder Arc ( or Book of Murder ) that at some point, when the priest arrives, he has to think not only a name but also a way to connect this acquaintance to him. Sebastian sent an empty paper, and Ciel´s the one who thought what to say.
12. How does their education and intelligence â or lack thereof - reflect in their speech pattern, vocabulary, and pronunciations?Â
We get to see little of this in the manga/show, but I believe that it will show clearly his education in his mannerism, and ways of speech. It´s known that in the Victorian era, existed different kind of pronunciations and vocabularies; basically, the one coming from the high class, and the other from the lower one. In the Circus arc ( aka, book of circus ova ), Doll asked Ciel where did he came from or so, because his speech was different ( Ciel alleged he used to spend a lot of time with âthe masterâ and that´s why he speaks alike, because he got used to ); his pronunciation consists, basically on using fancy words, and usually pronouncing the words correctly ( unlike the low class that used to shorten words and use different kind of terms for others )
19. What were your characterâs deepest disillusions? In life? What are they now?Â
I don´t think he had any kind of disillusion earlier, when his parents were still alive ( i mean, he was a mere child, spoiled and often times kept away from âthe outside wordâ given his poor health; it was quite impossible for him to know what was right and what wrong. And therefore, be disillusioned by something ); now? I´m not quite sure, he knows how rotten and sinful the world is, what tragedy can do to ones life, so I don´t think he would have big expectations towards something. His thirst for revenge is bigger than anything else, so it´s the only thing he has in mind⌠nothing else matters.
Except for his family: I think that, at some point, in the Jack the ripper arc, he´s disillusioned just slightly over the fact it was his own aunt, Madam Red the one to blame for all those murders; it got him out of guard, but more than that, he was not quite surprised. ( maybe he expected her to live, but it was nothing he could do to help the situation, and maybe that was the right thing to do???? not sure??? )