Accounting & Commerce

B.Com degree is to provide students with a wide range of skills in area of commerce, accounting and management. It also helps in preparing the students for business enterprises in account and finance roles. Some universities allow students to specialise in a particular subject in a final year. B.Com graduates can do M.Com, MBA, CA,CS,CFA, CMA etc to enhance their career growth.
BBA program usually includes general business courses and advanced courses for specific functional areas such as Finance, HR, IT, Marketing etc. BBA graduates get entry-level supervisor and junior management positions in various types of industries in different management functions. In order to grow in career a BBA graduate would require an MBA to move up the ladder.
If your target is to work in finance and accounting then B.Com or B.Com (Honors) is recommended degree for you. Else, you may opt for BBA.

I will suggest that you stay with one industry rather than shifting so frequently. This will not help in your career prospects. Only go for HM in case you are sure. The course can be:
The eligibility depends on the type of course that you wish to pursue, the details of some courses are stated below:
Diploma Class 10th cleared from a recognised board with minimum 40% marks.
Bachelor's Degree: Class 10+2 examination with at least 50% marks.
Post-graduation degree: Bachelor's degree from a recognised university with at least 45% marks.
Graduate and PG programs may also require you to appear in entrance exams such as NCHMCT, AIMA UGAT, E-CHAT, etc.