Colleges in Assam

It would not be possible. Rmnlu's 1st list is already out and sc category has been admitted at around 2k rank. So sc seats would be full now, and only air rank would be considered. See if last counseling round gives anything but don't hope very high.

Old IITs are the best. They enhance your personality.

No, your rank is too low. You will not get any NLU as the cut-off will not even rich 10K. Drop a year.

Go for CSE in NIT Patna as the placements in NIT Patna are improving and also, some big projects are going on in NIT Patna.

Kindly visit this link:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

NLUs are far-off. You should take admission in a good private college or should take a year drop and prepare well.

What is your question?

Your score is quite good enough to be eligible for applying to BA LLB course in any reputed institution within India. To get an idea of entrance examination please go through the syllabus given by Assam University. Also, try to find out previous year papers or model papers. Generally, the questions are from the Indian Constitution, reasoning, English, data interpretation and general knowledge including current awareness.

You may get CSE branch in the special rounds in Tezpur University.