B.Sc

Eligibility:
Candidate must have passed 10+2 from a recognized board.
Admission Process:
Admission is through counselling based on the marks obtained in 10+2.
Fees:
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Total Fees-
INR 6,493
https://www.google.com/amp/s/www.shiksha.com/science/course/amp/b-sc-ganga-devi-mahila-mahavidyalaya-patna-275579

Yes, it is a must. To be eligible for B.Sc. In Aviation, a candidate must have passed Class 10th with a minimum aggregate of 50 percent in all subjects, from a recognised board. A candidate must have passed Class 10+2 with a minimum aggregate of 50 percent with English, Physics and Mathematics as the main subjects.

Yes, you can get admission in B.Sc honors course.

You can apply as a transfer student after completing at least 1 year of your Bachelor's degree. You can apply before completing 2 years and half years of your Bachelor's degree.

When you enroll for Physics for your graduation, you will get your degree as B.Sc. (Hons). When you opt for PCM combination, you will get degree of B.Sc. There isn't any major difference between them as Honor's students also study some basics and major parts of main & subsidiary subjects. Universities have different criteria for this, as in Banaras Hindu University, you have to choose the combination of three subjects whereas for Delhi University, you have to choose only one single subject for graduation. As both are graduation degrees, both are equal and there isn't any advantage for a particular one.

MBA in Port and Shipping Management.
Duration: 2 years.
Eligibility Criteria: Graduate Degree from a recognized institute/university.
So, yes you are eligible.