LLB

Energy law, corporate law, international law and entertainment law are the few upcoming branches in law.

Yes, you can get admission in good private colleges such as O. P. Jindal and UPES through LSAT.

You should pursue a course based on your interest areas & career aspiration. A 3 year LLB program will straight away give you a career option as a lawyer/legal advisory firm where as a BSC & BBA may not be able to get a good career break and you may be required to pursue an MBA program post-graduation.

Yes, its worth every penny that you will spend.

Look, if you want to get into HR, then it does not really matter what was your graduation. BBA and LLB are both graduation level courses. So, leave them aside. So that leaves your MBA (HR) that too through correspondence. Preference always will be received by candidates who have done MBA full time. So Yes, if you have a full time MBA (HR) degree from a reputed college, then it holds more value than a degree received through correspondence in MBA (HR) plus BBA LLB. Hope this helps.

LLB is available in hundreds of colleges across India, in different cities, you can check the link:
https://goo.gl/DDq6MX

Symbiosis is better in comparison to Bharati Vidyapeeth University.

Candidates with 3 years graduation degree in any discipline from a recognized university are eligible for 3 years LLB course, whereas for 5 year integrated Law degree course candidates who have passed 12th from a recognized board are eligible. Selection to both these courses is through entrance exams. Law subjects covered in 3 years and 5 years course are similar. If you take 3 years LLB course then you will take six years to complete basic law education against 5 of 5 years integrated law course. Both are recognized by Bar Council India and equally acceptable in job market.