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For getting admissions in LLB, you need to give the entrance exam of law which is CLAT. I'll share with you the important dates for this and colleges where you can apply as well for this course:
These are all the important dates for CLAT Exam:
Registration Start date November 2016
Registration End date December 2016
Admit Card download date January 2017
CMAT Exam Date January 2017
CMAT Result declaration January 2017
Print out of Score Cards January 2017
You can plan your dates accordingly and apply to the colleges which are well recognised for their degree in law:
NLSIU, Bangalore
NALSAR, Hyderabad
Campus law Centre, Delhi
Symbiosis Law School, Pune
UPES, Dehradun

I think you should go for NIT, Silchar CSE without any 2nd thought. One thing I would like to point out that NIT, Silchar is not one of the 'lower' NITs. CSE is the blooming sector everywhere in India, and here, placement opportunities are excellent. NIT is an institute of National Importance. It's directly under MHRD whose standards will be maintained. Fee is comparatively very less in NIT.
Placements (CSE): Not to be biased, CSE of NIT Silchar has taken a delayed take-off in terms of placement. This year's (2016) placements included biggies like Goldman Sachs , Price Waterhouse Coopers, Wells Fargo, SAP Labs, Samsung R and D, Snapdeal, C-DOT (PSU),DRDO, etc. which hired almost 50% of the CSE batch, while most of the remaining got decent offers as well. Which is, if not better, at least quite at-par the Bengaluru colleges. It takes a lot of effort for any company to come to Silchar (They need to invest at-least 3 days for a job they could have done in 1 day, but they still come investing all the time and money). This shows the respect that this brand has.