Design

Yes, Aditya College of Design Studies provides course of B.Sc in Interior Design.
You can also refer to the following link to get detailed information about the course.
https://www.shiksha.com/design/interior-design/course/b-sc-in-interior-design-aditya-college-of-design-studies-borivali-west-mumbai-250449

Graduates who have completed this course can find lots of job opportunities in different fields of design industry. Designing is a growing industry in india with more people understanding their passion rather than blindly following medical and engineering. Students may choose course topics exploring different areas of design including interior, technical, fashion, interaction, visuals etc. BCA is a relative field to UI/UX, since your learnings on programming and software development would add value to your process as a designer.

Mit-Pune has started B.Arch courses recently (2 years ago), therefore not much is known about their quality of education for B.Arch courses. In terms for architecture courses I think it would be better to choose RV college of architecture over mit-Pune (mit-wpu ). .

Yes, you can if you have an undergraduate degree in any discipline from a recognized college/university.

Total Seats in National Institute of Fashion Technology (Mumbai) for Masters of Design General are only 30 seats and candidates will get the seats only by CAT & GAT Entrance examination.