Company Secretary

Yes, you can very well do CS and law. It's a good combination and will help you in the corporate world.

Audit is not there in New syllabus. Following new subject for CS executive Programme
Module 1. Jurisprudence, Interpretation & General Laws
2. Company Law
3. Setting up of Business Entities and Closure
4. Tax Laws
Module 2
5. Corporate & Management Accounting
6. Securities Laws & Capital Markets 5.
7. Economic, Business and Commercial Laws
8. Financial and Strategic Management.

Hello Vivek, Company secretary is one of the best-paid jobs in the industry. And one of the professional course, you can advise in Board of directors too. For CS executive as per new syllabus, 10 times attempts are allowed.
And For CS foundation, you can give 6 attempts and CS professional 10 attempts are allowed. Then registration for the programme will get expired. So, make sure to clear in 1-3 attempts for placement. All the best for your future.

Yes, you can study both the course together, because both are not academic course. B.Com from finance is academic one and CS is a professional course. So, you can pursue both the degree together.

CS Executive Subjects:Module 1
Company Law
Cost and Management Accounting
Economic and Commercial Laws
Tax Laws and Practice
CS Executive Subjects
Module 2
Company Accounts and Auditing Practices
Capital Markets and Securities Laws
Industrial, Labour and General Laws.

The full form of CS is Company Secretary, which is a prestigious professional course in India and one who can lead in the field of Corporate Law and Governance once if qualified as CS. Following are the subject to study for CS:
Company Law
Industrial Law
Business Law
SEBI
Accounting and Taxation
Auditing
Marketing etc.

Mumbai University offers distance learning programmes. B.Sc Computer Science is also offered. But, as per me, if you go to pursue it now, you will have to complete the first two years too again in correspondence.
Also, try to enquire at IGNOU. They might have some provisions which might help you.
All the best.

Yes, you can pursue the same together. Almost all the subjects in your B.Com will be covered by CS.