Hey Klaus,
It seems you're a bit confused about what the MEXT scholarship is, so I'm going to answer your questions in a short manner. You can find more information in the other forum topics.
1) With MEXT you can study in principle at any university* (private may not be met due to budgetary reasons). So I'm pretty sure some Japanese University has business/management/accounting
*about language see )
2) Don't know where you got that number from, but I'm sure they just want to know if you have that amount to save yourself in case something goes wrong in Japan (probably not needed).
3) As in 1), you can apply for any university, so your housing will depend on what the university provides/offers you and your own choice.
4) I hate to break you the news, but probably the deadline for your country for Embassy Recommendation passed. April 2016 is the date MEXT recipients of the passed deadline leave for Japan. Embassy recommendation application period for first deadline is around April-June, depending on country. Check the Japanese embassy website of your country for detailed information. So either you have to find an university which wants to recommend you for MEXT University Recommendation (more info in forums) or you have to apply in April-June 2016 for April 2017.
For Embassy MEXT you have 3 steps: 1) Sending documents to embassy (deadline 1), 2) English and Japanese (not so important if program is English) test (also assuming you want to study for a Master or PhD, Undergraduate has additional tests) + interview and 3) acquiring a Letter of Acceptance from a Japanese professor.
* Any university if you speak Japanese (N2 level). If not you have to find programs in English. A good way to start is to Google for: Global 30 Japanese universities.
Guess I answered long anyway xD
Hope this information is useful for you! Good luck!