Hiii...

After BA English, you can do a 3-yearLLB degree programme. NLUs do not offer LLB after graduation as they only offer 5-year integrated LLB programme after class 12th. ... For an English Hons.

Hope you get it

Hey.
Yes, you can pursue BA English (Hons) in the BA LLB course. Now in which subject you pursue your BA in the 5 year integrated course will also depend on which college you've taken admission in. Various different colleges offer different subjects to choose from. The subject that you major in, in your BA LLB course will be the course that you'll be pursuing. So if you choose English as your Major subject in BA LLB you'll be pursuing BA English hons- LLB in 5 years.
Now this would depend on whatever subject and  courses that a particular college offers. Information related to this can be easily found in the Syllabus section of a law college's official website
Best of luck.