Is graduating from NLSIU at 25 a wise option?

Yes, why not. If you are interested in the subject and studying law is what your passion is then nothing else really matters. 

There are so many people around us who take a drop for a year or two in order to fully prepare for their passion so that there are no setbacks. I know a friend who pursued this career after taking a drop for a year so that she could prepare well. 

When you decide to go for NLSIU, you just have to work on your knowledge and CGPA. Those are the only two aspects that stand in your way towards your dream job. For studying law, you must have an understanding of the nuances of the subject. You also have to put hours of research into the subject.