B.Com

TGT or Trained Graduate Teachers should have a Bachelor's degree or equivalent from a recognised university with 50% marks or above in aggregate as well as in the concerned subject for recruitment and B.Ed or equivalent qualification from a recognised university.
As per this, you may apply for it.

The cut-off differs from year to year. So, wait till the cut-off is out for 2018.

You may refer to the link below:
https://www.shiksha.com/accounting-commerce/articles/course-options-after-b-com-blogId-12939

Candidates must have mathematics as a subject in their 10+2 course or any one year of graduation. BCA qualified candidates can also pursue MCA.

You can not pursue a full-time career while doing B.Com. However, once you complete your course, you may get into the following careers:
1. Accountant
2. Tax Consultant
3. Human Resource
5. BPO / KPO
6. Auditor
8. Stock Broker
9. Lecturer
10. Export-Import Manager
11. Finance Consultant
12. Insurance Consultant
13. CA / Cost & Work Accountant / Company Secretary
14. Event Manager
18. Market Researcher

Yes, you can pursue law from distance mode.

Job Profiles
B.Com graduate can work as a
Accountant
Auditor
Consultant
Company Secretary
Business Analyst
Finance Officer
Sales Analyst
Junior Analyst
Tax Accountant
Stock Broker
Economist
Business Development Trainee
Job Areas
Job Areas For B.Com Graduates are:
Business Consultancies
Educational Institutes
Industrial Houses
Public Accounting Firms
Policy Planning
Foreign Trade
Banks
Budget Planning
Inventory Control
Merchant Banking
Marketing
Working Capital Management
Treasury and Forex Department
Investment Banking