Pune

It's an autonomous college, for details check link below:
https://www.shiksha.com/getListingDetail/24791/institute/college-Mit-Academy-Of-Engineering-Mitaoe-Pune-India

Hi Ahswine,
Please refer to the university websites to check the programs they offer. What you want to study is something you must decide, identify your areas of interests, likes and dislikes, speak to the university counselors and also your teachers regarding subject choice. Please check the program list here
http://distance.bharatividyapeeth.edu/default.aspx
http://www.unipune.ac.in/administration_files/BCUD.htm
Hope it helped.

You will not get pune location except 1 organization come for system can give

Dear Anshul,
MIBM is one of the best college for marketing and getting good number of companies in marketing area.
All the best.

If you're looking for roles into accounting and financial management, then its a good choice.
Overall placements assistance is average and good companies do visit.
https://www.shiksha.com/getListingDetail/21643/institute/college-Indian-Institute-Of-Cost-And-Management-Studies-Research-Indsearch-Pune-India

It is not necessary to provide all the specialisations. A college keep in mind, the demand, number of students, faculty, infrastructure and availability.

A person usually pursue MBA to have better career options. A specialisation has to be picked keeping in mind ones interest area and inherent personality traits. If a person does MBA in any other specialisation then he may not enjoy the profession that he picks up as a career. Many a time this leads to a situation wherein the person reviews the career options at a later date. My advice to you is that keeping in mind your interest areas and personality type pursue a specialization.