Sales & Marketing

Both BBA Marketing and BBA Finance are equally good educational qualificatio to seek admission in MIB or MBA IB. Based on any of the specialization at BBA you can choose your electives in PG degree on International Business.

GD-PI round is compulsory in all MBA colleges for admission selection. You have to prepare hard for it. But it is not difficult to crack.
https://www.shiksha.com/mba/colleges/mba-in-sales-marketing-colleges-pune
Go to above link to get list of good MBA colleges (Marketing) in Pune.

You are eligible to seek admission in Master in international business (MIB) or MBA international business after BBA marketing provided you complete your BBA with more than 50% marks.

Hello,
Put ITM Navi Mumbai in the last resort. First try for some other colleges. There are many other institutes better than ITM. If you still want to join ITM, then go for marketing as marketing is the only department which is worth joining as placements are very good for the same.

Check out this link:
https://www.shiksha.com/mba/course/post-graduate-program-in-management-ibs-business-school-gurgaon-159578

You can do BCA as your bachelors degree and the opt for MBA as masters.

Tell me the area in which you want colleges?

M.Com with specialisation in Banking and Finance has wider scope and opportunities. It is also aligned to your commerce & finance field. Therefore, you are advised to opt for Banking and finance.

Dear,
MET, Mumbai is offering various specialisations amongst them Finance related placements are more in the previous years. Therefore, you can give first priority to finance and second marketing.
All the best.

Yes, an employer won't hire anyone in a marketing department unless they have a business degree or at least a graduation. Digital marketing is an extension of marketing and one need to have skills like communication, business acumen, using some tools, etc.