Hello Shivani!

The private Universities you have mentioned for Law i.e Nirma University, Kirti.P Mehta School of law and UPES Dehradun are the most looked for universities after the NLUs. 

For Nirma University and Kirti P. Mehta School of law, a rank upto 5000 is good enough for admission. And for UPES rank upto 8000 are good enough. 

Since these are private universities, it has been observed that if there are vacant seats available then ranks for admissions have been stretched to 10000 and sometimes 15000 as well. 

Considering your rank and these trends you have fair chances of admission in either of these. 

For more details you can contact their admission forums through their official websites.

All the best!