Colleges in Mumbai

You should have a graduate degree to be eligible for Post Graduate Diploma in Logistics Management course.

Let me tell you one thing. Mumbai University is the easiest thing to opt for. People won't give you the quantum of credit even if you perform well there. Because, everyone knows it is easy, so if you really want to add something worthy in your CV, then go for Delhi University or Calcutta University.

Yes, you can apply. Refer the link for application form: http://www.scdl.net/distance-learning-diploma-in-creative-writing-in-english.aspx

There are 38 colleges in only Bangalore for the given course. You can get good college list in following cities by given link
https://www.shiksha.com/mba/colleges/distance-correspondence-mba-colleges-Bangalore.

No Aditya, chances are slightly less to get in any good college with the above score.

No, you should not be doing open BA course, because your candidature will be suspend.

Admission is through counseling conducted by Directorate of Technical Education, Maharashtra based on marks obtained in 10+2/ Diploma and score obtained in National Aptitude Test in Architecture(NATA).

I believe, it is a private institute and does not have any eligibility requirements for their courses. And, on top of that you are asking for a Certification course that by itself does not have any prerequisites.