BBA

Actually, both of them have a great brand name, Symbiosis and NMIMS both will give you great course and brand value but I would recommend you to go for NMIMS just because it's in Mumbai which will give you great job opportunities compared to Pune.

Hello Sourav,
You may refer the link below that gives a list of top colleges in India for Bachelor of Business Administration (BBA) course:
https://www.shiksha.com/bba/ranking/top-bba-colleges-in-india/93-2-0-0-0
All the best!

Work experience is not necessary for pursuing an MBA degree.You can directly join MBA after completing your BBA. However, take work experience before joining MBA works as an add-on.

You can refer the below link for college comparison: https://www.shiksha.com/resources/college-comparison-228042-152335

St. Xavier's College, Kolkata. It is one of the prestigious colleges in Kolkata.

For fee structure, you need to contact your college.
http://www.hindustanacademy.edu.in/Page.aspx?PageId=192

No the entrance exam of BBA is based on MCQ paper which comprises of subjects like GK, logic and ability test. This is followed by personal interview and group discussions. Not very sure about B.Com entrance examination.

https://www.shiksha.com/hospitality-travel/course/aptech-certified-hospitality-and-tourism-management-aptech-aviation-academy-malad-west-mumbai-204487
I guess you cant get into second year admission in BBA in hospitality and tourism.
All the best!

The BBA programme has been developed to prepare students to meet the requirements of organizations in the Logistics & Supply Chain Management sector so as to have a fundamental knowledge of the business operations as well as an understanding of the practical application of the concepts in the chosen areas of Logistics & Supply Chain Management domain.
If you can get good institute than you will get good institute.
All the best!