Law Eligibility

Dear,
Bar council issued guidelines that your Law degree will be from Valid University and should be in Regular mode to enroll in state or central bar council of India .There is no concern if Scholl board whether it's regular or open school.
So, don't worry and prepare yourself for future.
All the best.

Yes, you can go for other law colleges, and the NLUs would call you for admission, according to the various phases of counselling.
you might even keep patience and wait for the vacancies in NLUs.

According to previous data, to secure a seat in Amity Law School, Delhi students ranked up to 150-180(outside Delhi general) have been offered a seat in round counseling.
But one of my friends got 960 rank, outside Delhi general and got a seat in the spot counseling in 2015.
So, yes, you can get ALSD, just stay updated with dates and notifications of the counseling and be positive it's a good rank, if not ALSD you can other good colleges like VIPS, IIMT, etc.

Look, it seems a bit tough with your rank to get into one of these institutions.
But, your chances with other colleges are fairly good.

Please see: http://www.vips.edu/eligibility_criteria.php

You will need the migration certificate from university. Contact your university for that.