Colleges in Mumbai

You can certainly take admission in Mumbai University for BBA for 2nd year. As per the information I have, changing the university is very much possible. In case Mumbai University's college, whichever you wish to choose, has lateral entry option. So, you can check which colleges offer lateral entry .
Hope it helps!

Your chances are around 80%.

Preferably about 90% in your HSC and 100+ in NATA can get you a seat in Sir JJ College of Architecture.

Hi Supran,
150+ is a very good NATA score. When it comes to JJ college, both your NATA score and your board exam score will be taken into account that is 50% of your board marks and 50% of your NATA score. You need have 150+ on an average. So, it seems quite difficult for you to get in there. You have a bright future in architecture, no matter what college you are in.
Good luck.

In case you intend to change your university and course mode after completing your 1st year, I don't think it is possible. In certain cases, college change within the same university is possible to a large extent but not the mode in which the course is pursued.
You can still check with your college authorities.

No, that's not possible.
Admission is through counseling conducted by DTE Maharashtra based on marks obtained in Maharashtra Common Entrance Test (MHCET) or rank obtained in JEE-Mains.
For international students admission is through counseling conducted by DTE Maharashtra based on marks obtained in mandatory subjects in 10+2.
Details : https://www.shiksha.com/b-tech/course/b-tech-in-mechanical-engineering-sardar-patel-college-of-engineering-andheri-west-mumbai-241177

Please click the link below or all the courses available with the college, SNDT Women's University
https://sndt.ac.in/programmes/degree-courses
If you intend to talk about the same university, please check that there is no such course available.