MBA/PGDM

Don't go for M.Com as you are not good at theories.
Go for banking.

ISBM University is a UGC recognised private university in Raipur, Chhattisgarh, India under section 2(F) of UGC Act 1956. It is a regular campus-based offering University. MBA programmes provided by ISBM University are of 2-years duration.You can visit their website: www.isbmuniversity.edu.in to know more.

Yes, you can. IISWBM-Kolkata provide specialisation in business analytics in their regular MBA programme

Please go through the following links carefully to understand the admission process in IIMs:-
https://www.shiksha.com/mba/articles/iim-indore-admission-criteria-2017-2019-cat-2016-allotted-only-20-weigtage-blogId-13359

You can do from IGNOU.

Hello Nikita,
You may refer the links below for the list of top MBA colleges in Rajasthan:
1) https://www.shiksha.com/mba/ranking/top-mba-colleges-in-rajasthan/2-2-121-0-0
2) https://www.shiksha.com/mba/colleges/mba-colleges-rajasthan

Yes, you can go for MBA entrance exams.

There is no comparison of these two fields, as both of them are very different. Taking up advertisement will lead to a career as a copy writer or an advertisement maker, whereas, taking up public relations will lead to a field where you will be in touch with journalists to get your news broadcasted in different media channels.

You can opt for MBA in information technology.
Good luck.