Even with all the fuss created about with the huge inflation in marks, so many people scoring above 120+ and people having attempted the whole paper of 200 questions it still seems probable that you have chances in NLU Shimla and NLU Jabalpur.
You see most people are confident of getting into top law colleges and when they don't, they start the vicious cycle of dropping years, taking so many attempts and much more. And hence there are many seats vacant in NLUs even after the counselling is over. If you have scored fair enough marks and crossed the cutoff, they will definitely shortlist you.
You will get through. In the aforementioned colleges as well as some other lower ranked NLUs. Don't worry.
Best of luck! Hope it helps.