LLB

The field does not depend on whether you have done B.Sc. You need to be specific on your interest as every field has a different approach. The basic education would be the same.

You are not eligible for 3 years LLB degree course as it is not equivalent to a graduate degree. You may be allowed by few universities to do 5 years integrated BA-LLB degree provide these universities accept Diploma in engineering equivalent to 12th. You may check with universities which may target.

LLB itself is a professional degree with which you can have career with corporate law firms, business firms in their law department and as independent practicing lawyer. If you are planning to do corporate law then, MBA may be some benefits. But I am of the opinion that if you want to remain as law specialist, you do not require education in the field of management.

Kindly visit the link mentioned below:
https://www.shiksha.com/college/institute-of-management-education-ghaziabad-295

Sure, you can opt for LLB after completing your BA degree even if it is attained through the distance mode but it is important that the University from where you have pursued your BA degree should be well approved by the authories.
Also I would advise you to pursue LLB through the regular mode, from a good institute and to know about the Law institutes offering LLB degree, you may kindly go through the following link:
https://www.shiksha.com/law/colleges/colleges-india

Yes, it's a good option.

Both are good in there ways. Both have strong alumni and one of the oldest colleges too. They almost are equal. The good thing to do LLB from CLC is that it is in Delhi where High Court Supreme Court District courts and Tribunals are very near to do internships and almost all the firms and advocates have their offices in Delhi.

BLS LLB stands for Bachelor of Legal Science and Bachelor of Law (BLS, LLB) which is 5 years' integrated course in the field of law.