I hope you're doing a lot of additional research, and this is just a subjective survey to get a feeling for how Japanese people feel about gender roles in their society. I'm not Japanese nor a woman, but I would recommend revising your questions to be more specific and easily answered.
1. Are there society classes?
Think about the purpose of this question and how it's worded. Do you mean socio-economic classes?
2. What does a normal day entail for the average Japanese women?
what do people know about "average?" Why not ask "what's the average day like for YOU/your mother/wife/daughter?" Ask people a question they can actually answer.
3. Is the average woman dependent of her husband?
Again, you're asking an individual for a generalization; you're guaranteed to get misleading answers. Why not ask "What is your family structure like? Are you the breadwinner of your household? If you are married, how do you share financial responsibility with your spouse?"
3.2 Is family honour important?
This is super subjective and non-specific; the answers you get will tell you nothing. Use an anecdotal question instead: "If XX happened, what would you do?"
3.3 Do you have arranged marriages?
I'm not sure why you grouped these questions together. Arranged meetings still happened (called omiai), you can learn more about this with an easy google search. Remember, you're asking a survey; you need to ask questions that show you've actually done some research
beforehand. You're asking individuals for personal responses, you can get general knowledge and statistics through your own research. Why not ask "do you have any friends or family who met their spouse at an arranged meeting/omiai?"
4. What does society expect from women, if you look at: family planning, marriage, children, a job or education?
"Do you feel society has expectations for you regarding blah blah blah? what are they?"
4.1 What is the average age for girls to get married?
Have you looked into the census?
Statistics Bureau Home Page
remember, you're asking INDIVIDUALS, ask PERSONAL questions. like "If you aren't married, do you feel pressure to get married and start a family? At what ages do you feel the most pressure to start a family?"
5. Do women carry high of influence within the domestic environment?
this is a good question but needs to be reworded to make it more personal, and be more specific about what KIND of influence. As a generality of "traditional" families, the husband makes the money and the wife handles it; is that what you're talking about? Or are you asking about raising/disciplining children, which would probably warrant a different answer altogether.
5.1 Is there a difference in the level of emancipation in the city vs. the countryside?
emancipation? you mean teenagers petitioning for legal independence from their parents? Why are you asking this here?
5.2 What are the affairs considering inheritance? (Does the man inherit everything or the eldest member?)
6. Who plays the bigger role in society?
what are the options? I think doraemon plays a bigger role than hello kitty.
7. Are there equal career opportunities for women and men?
Better, but still too general. Ask about what experiences they might have had to show that there is/isn't equality in the workplace
7.1 Do women carry any influence inside any of the political parties?
Ask about women in politics and what roles they play. Ask about the most visible women in politics
8. Is there any levels of corruption in Japan, if there is: are women disadvantaged by this?
How does (political?) corruption affect women in Japan? Does it affect women differently from men?
8.1 Do women think about their political ideals, and do they come forward for them?
8.2 Are there more demonstrations than before?
demonstrations about WHAT?
9. Is corruption tolerated, or is it considered as something bad?
9.1 Are a lot of women involved in politics?
why isn't question 8 grouped with these? and isn't 7.1 the same as 9.1?
10Have there been changes in the position of women throughout the years?
"What changes have you noticed in your lifetime in the role of women in Japan?" or something like that.
Remember, you're asking individuals for a subjective response; don't ask for generalizations that google can provide, ask them about their own experiences and how they feel about the way women are treated. Think about what you're asking and why. Useful answer grow from well-designed questions.