Well, let's start with a pretty important caveat:
MBTI doesn't indicate actions, it indicates inclinations. The best description I've heard is that the various qualities are "how one recovers their energy." Similarly, depending on the intensity of the inclinations, it affects how draining acting against type would be. Therefore, there's nothing to keep you from working against your type, but it is mentally, emotionally, and sometimes physically taxing to do so.
Case in point: my father is cheerful, gregarious, and friendly. Some would call him a social butterfly. But he's an introvert. He needs his "me time." His outgoing personality is a learned skill, one very important for his line of work.
Also, I'm not qualified in any sort of medical or psychological evaluations.
That being said, let's go down the line:
(SPOILERS, of course)
Misha: No question, I'd consider her an introvert, not an extrovert. She knows a lot of people, but that's more due to her "responsibilities" as Shizune's "translator." But she only has one friend. It takes months for her to open up to Hisao, and she does so mostly because of her disconnect with Shizune. She confesses that she doesn't really have anyone she misses from her previous school, comments that she's okay with being ignored (as an alternative to being hated, admitted). Similarly, I'd place her as intuitive, not sensing.
Sensing vs Intuitive - Sensing is detail-oriented, intuitive is more focused on the general contours. One example provided was how they would give directions. The sensing individual will tell you to "go .5 miles down Main street, then take a 45 degree turn onto diagonal street, and continue down diagonal for 3 miles, and your destination will be on the left. The house number will be 8675309." The intuitive individual will say "Okay, you're going to go down main street for a little bit, then you want to turn left at the McDonald's. It's the street that comes at a weird angle. You want to go down that for a while, until you see the purple house with green shutters. There should be a pink bug in the driveway. If you start seeing signs for the largest ball of twine, you went too far."
Feeling seems more or less spot-on, and her time management issues and such make a decent argument for perceiving. That means I'd consider Misha an
INFP.
Rin: While INFP seems reasonable at first glance, I think an argument could be made for S, T, and/or J. She's spacey, yes, but the way she speaks, the demand for precision, all point more to an S. She doesn't want a word that "kind of describes the sense;" she wants a word that "means" what she wants to say. So I'd say S, not N. Similarly, she seems to care about the facts of the matter more than the people and emotions behind it. She sees interpersonal relationships as hierarchically structured, with clear delineations, and actions are actions - she sees emotions as more of a distraction, something to be fought.
Thinking vs. Feeling - Thinking focuses on the facts as they are, while feeling is more concerned with the people. The thinking person appeals to the brain, while the feeling person appeals to the heart. For the thinking person, you can break down any problem into a mathematical statement, with knowable values and a clear answer. For the feeling person, there are all sorts of variables and intangibles, with no clear "right" answer, just a "using your best judgment" answer. (I'll admit, I struggle with defining this one, probably because I want to give thinking the credit it deserves, but feel strong personal inclinations toward feeling.)
P and J are difficult to judge with her, because she doesn't really DO much. However, she seems to get irritated when her routine is interrupted or unexpected things come up. She seems quite laid back, but Hisao never really shakes up her plans until the latter part of her route, and then things get bad. So Rin, interestingly enough, would probably be an
ISTJ.
Shizune: Extroverted vs. introverted is a tough call for Shizune. On one hand, she's constantly trying to get people involved in her schemes, pulling more people around her, etc. On the other hand, she only really has Misha as a friend, and seems to have opted out of the deaf community. On balance, however, I'd say most of her social deficiencies are personal hang-ups, and she truly likes being among people, interacting with them. So E it is. I'd say she's sensing, not intuitive. She's all about precision, making sure everything's perfect, with all the "I"s dotted and all the "T"s crossed, whether they like it or not. Agree on her being a solid T. She measures everything, weighs and judges it, and makes a decision, and her decisions are non-negotiable. But then we get to perceiving against judging. Shizune is a hardcore P. She lives on unpredictability, taking life as it comes, and living just a little bit dangerously. Unexpected interruptions aren't a problem or an annoyance, they are the greatest thing ever - challenges. This makes Shizune
ESTP.
Hanako: Safe to say Hanako's introverted, but less sure about sensing vs. intuitive. I want to say she's more intuitive, but we don't have much to go on, other than her approach to cooking. I'd say she's a T rather than an F, though. Mostly based on her understanding of relationships in a transactional sense of quid pro quo. Finally, pure and unequivocal judging. When things don't go as planned, when the unexpected appears, she freaks out. That makes Hanako
INTJ
Lilly: Lilly's reasonably popular, but doesn't have many close friends, and she even keeps quite a bit from them. Textbook extroverted. Difficult to judge sensing vs. intuitive for her, because her blindness leads to a natural need for sensing-like activity. That being said, a life of taking activities by necessity means she'd probably lean more toward her necessities rather than preferences when answering questions, so she'd test as an S. Definitely an F. And I'd be inclined to say she's a J. She generally takes control, and makes plans, and otherwise tries to place everything neatly in its proper cubbyhole. In addition, of course, tot he order and neatness that's more or less required to handle life while blind. So I'd place Lilly as
ESFJ.
Emi: Another popular, lots of friends, few (or no) close friends, so easy E. Details are more of a distraction to her, only getting in the way. Close enough is good enough, making her an N. She judges the actions of others more on (her perceived) motivations rather than the nature of the actions themselves, making her a likely candidate for F over T. And, again, she's a planner. Things happen because she decides they're going to happen that way, and she rarely lets anything get in the way of her decisions. Therefore, Emi's an
ENFJ.
Hisao: It's probably safe to say that Hisao's an introvert. The narrative format seems to incline more toward sensing, but it's a tough call. He's all about feelings and motivations rather than the actions themselves, so definitely an F. Finally, he tends to just go with the flow, letting life happen, and taking it as it comes. He doesn't plan, though he does have to occasional multi-step impulse. Hisao's probably
ISFP.