B.Sc

Follow the link below for all the details:
https://www.shiksha.com/college/school-of-management-d-y-patil-university/exams/dypcet/application-form.

You should not go with the thought that whether the institute is private or government. You should, in fact, focus on whether the institute is good or not. I would recommend B.Tech for you because as per industry norms B.Tech is equivalent to MCA and for MCA you would invest 2 more extra years plus the fee.

Follow the links below for details :
https://www.shiksha.com/it-software/colleges/b-sc-colleges-Mumbai-all
https://www.shiksha.com/it-software/colleges/bca-colleges-Mumbai-all
For lateral entry, check out the details of colleges individually.

Your total aggregate in HSc should be above 50%.

I feel B.Sc in hospitality and hotel administration is better than catering.
May I know, what interests you?

If you have interest in law then you can surely pursue LLB after B.Sc.

Dear Rashi,
In reality, there are no differences between BA and B.Sc in mass communication. It is a matter of affiliation or approved course for the subject by the colleges and universities. As per me, each and every institution and university has its own course design and syllabus for Journalism and Mass Communication courses. So, don't confuse between these BA and B.Sc if you want to do Mass Communication course.