Is it a good decision to do a job for 2 to 3 years after completing my BBA and then apply for MBA or not?

Even if you work lets start at 3 lacs and end up with 3yrs at 6lacs, it is not of grt use...either ways after Mba u gonna get 6lacs onavg as fresher. So advise you to directly go for Mba and then strive high for gud salaries.

the problem is non availability of experience relevant jobs , the chances are that your experience after gradualtion may not hugley affect your packages after mba + mba will let you discover your interests and capabilities

In my opinion you should continue with your studies and do any part time job. Once you finish your masters this will more helpful to explore more opportunities.

Yes, it's a good choice for successful career.

I suggest, if you are getting opportunity to work after BBA course then go for it. Continue learning at the workplace. This will keep you apart from others in MBA students. Then, go for good MBA colleges.This will widen your scope in career prospects.