Colleges in Mumbai

Here is the list of the college which provide distance learning in M.Sc:
https://www.shiksha.com/science/colleges/distance-correspondence-m-sc-colleges-mumbai-all

Here are the complete admission procedure of this college:
https://www.shiksha.com/college/academy-of-higher-education-borivali-east-mumbai-47405/admission

Yes, you can. However, for Final Selection for M.Arch from Sir J.J College of Architecture, Candidates are selected based on marks obtained in Maharashtra Architecture Common Entrance Test (MAH-M.ARCH.-CET) and performance in group discussion and personal interview. Eligible candidates need to appear for the Maharashtra Architecture Common Entrance Test (MAH-M.ARCH.-CET).

Refer the link:
https://www.shiksha.com/humanities-social-sciences/colleges/distance-correspondence-b-a-colleges-india

Yes, International Baccalaureate (IB) 10+2 is valid in Indian Universities for admission in UG courses. Further there is no separate quota for IB students.

For NIMIMS Mumbai campus, you need to score above 209 in NMAT. While for Hyderabad and Bengaluru campuses, you need to score above 200 in NMAT. Hence your chances are moderate here.

Hello
At that CET score, you can aim the PGDM courses of various good colleges such as Welingkar, NL Dalmia, SIES, Chetana, MET IES etc. All the best!

IMI Kolkata is best for PGDM. IMI Kolkata offers a two-year, full-time PGDM (Post-Graduate Diploma in Management) programme, which is designed to prepare students for careers in corporate across all functional areas. The programme inculcates a strong sense of business fundamentals along with ethical values. Programme Objectives
The two-year PGDM programme of IMI Kolkata equips students with strong conceptual skills to manage a business in an integrated manner. The emphasis is on developing a holistic manager with a vision to take on the challenges for the future. Visit: https://imi-k.edu.in/.