Will I be able to make it to NALSAR with decent mock scores between 110-120 (123 being highest) with domicile reservation?

Since we are discussing NALSAR University of Law, which is one of the top institutes, it can’t be said with certainty that you will get in with a score of 110-120. 

According to the public record, the number of domestic seats is around 22. So, you can have a chance to get admission, if students who score above you are from the non-domicile category. 

You can definitely secure a seat, provided your score and category. But because the competition is somewhat the same for everyone, you can’t be certain about getting admission. If your score is near the highest, you can be hopeful.