B.A LLB

No, Dates are not out yet but it will begin in the month of March.

Most NLUs are considered good, more like the cream. Then, there is ILS and GLC. Followed by private colleges like UPES, Symbiosis (Pune).

There is no such entrance test to join BA LLB but, if a student intends to get a scholarship then he can give CUSAT exam conducted by the institution in the month of June.
You can apply for admission directly by registering yourself on the website:
http://www.cuchd.in/legal-studies/ba-llb-integrated.php

Well, the only difference that bifurcates both these specialisation are the subjects that you study in the first 2 years of your course. Under BA you'll have specific subjects such as history, political science, sociology, etc. and in BBA you'll have subjects such as Accounts, Marketing management, Financial management, etc.

Hi!
The admission process differs in every institute. The common entry to B.A. LL.B goes through entrance exam. The entrance tests for this purpose are CLAT ISAT, and AILET. After the entrance, some institutes also conduct personal interviews for final selection.

Hi!
You can refer to this link to know the top law colleges. You can click on the individual college to know the admission process https://www.shiksha.com/law/ranking/top-law-colleges-in-india/56-2-0-0-0.

Yes, you can apply there and admission is based on the cut-off released by Allahabad University.