Engineering

I am not sure about it. First, check whether KTU have given a provision of getting transfer to another University in their rules and regulations. If yes, then also it is possible only, and if you have cleared all papers up to current semester.
Best Wishes.

First paper is about architecture and 2nd is about engineering.

No, engineering doesn't contain any fashion designing course. It can be done separately.

TANCET candidates cannot apply for PGDM course, as PGDM admissions are done for students who score through MAT exams. PGDM course requires 2 or more years of work experience. Freshers can apply for MBA-FT course.

TANCET applicants can only apply for MBA-Full Time or MBA-Part Time courses which are affiliated to Anna University, Chennai. For abroad courses, the candidate needs MAT exam score of 600 or above. In that case, you can be granted admission to MBA-University of Toledo, USA or MBA-Hof university, Ger

Yes, COEP provides a lateral entry in computer science to Diploma holders.To know all the detail information to take admission in COEP visit the below Shiksha link.
https://www.shiksha.com/b-tech/course/b-tech-lateral-entry-college-of-engineering-pune-shivaji-nagar-204728.
Hope this helps you.
Be free

No, you can't because you need to have an aggregate of more than 60%.

I think Allen is the best for IITs.

You have to score about 200 marks to get a good NIT via JEE exams.