Diploma

Yes, you can go for Diploma. Diploma courses are designed for class 10th pass out students, only after that you can go for either job or may join engineering, as a lateral entry direct in 2nd year as lateral entry.

Yes, with that decent score, you can be eligible for Satya College of Engineering for lateral entry. All the best.

Yes, you can pursue Diploma after completing BA.

Yes, but you cannot pursue both programmers together. You can pursue this Diploma, once you complete your graduation.

Instead of going for Diploma, just go for practices or either for LLM. So, that it will enhance your profile. All the best.

It is better to go for a full-time proper course rather than a Diploma course. Here is a list of best MBA in Logistics & Supply Chain Management colleges in Bangalore:
Koshys Business School
Institute of Logistics and Aviation Management (ILAM)
Presidency University
Amity Global Business School
Rai Technology University (RTU)
IZEE Business School
CMS Business School, Jain University
Garden City University
Thanks.

Yes, you can pursue PGD course from NMIMS.