Should I pursue integrated BBA LLB course or LLM in business law (after BA LLB) to become a corporate lawyer?

Go for LLM because there's no point in investing another five years doing BBA LLB, once you're already done with BA LLB.

Options : 1) Do BBA LLB (5-years) first and take up the job as a corporate lawyer. You can further enhance your career by doing LLM in business law with distance learning. 2) Do BA LLB (5-years) then do LLM in business law. Then take up a job. Ideally, go for option 1. As you will learn the basics