Class 11

No, NCHM JEE paper is completely different it includes Science, numerical ability, Gk, current affairs, English section and service sector.

There is no package designing course from Woxsen School of Art and Design. Please use the link provided below for information regarding various courses offered by this particular institute. Download the institute brochure for details regarding admissions, eligibility, placements etc.
https://www.shiksha.com/college/woxsen-school-of-art-and-design-patancheru-hyderabad-48520

Hi,
Studying abroad is quite beneficial. After 12th you can opt for SAT exam, which generally gives students a chance to take admissions in US colleges. It is administered on behalf of the College Board by the Educational Testing Service. They even give scholarships, based on your performances in the exams. For more vivid information on SAT visit www.collegeboard.org.
Tips:
1) Get your basics clear of the subjects taught in class 11 and 12.
2) Focus on English sections like grammar, verbal ability, reading comprehension, etc.
3) Take online test series.

Yes, it is a very good combination. Even, I have studied till CS Executive and, then opted for MBA in finance for my career growth and job opportunities. If we do CS with MBA, the positive point will be, even if you fail to clear CS, you have job opportunities on the basis of MBA degree. The knowledge you get while doing CS of subjects like taxation, accounts, SEBI will be handy and will definitely play an important role in improving your knowledge and chance of getting job opportunities.
So, all the best take your decision accordingly.

About Admissions:
Christ University (Deemed to be University), Bangalore, offers multiple programmes at Undergraduate (UG), Postgraduate (PG), Ph.D. and M.Phil levels in streams like engineering, management, commerce, humanities and social sciences, law, etc. The admission process usually begins in January. Please refer to the link provided below for further details regarding admissions, eligibility, etc. For courses offered by Christ University:
https://www.shiksha.com/university/christ-bangalore-421/admission#admission

You need to qualify Mains and JEE Advanced for the same.