Engineering

If it's NIIT University, yes, you will easily get into it. You just need to pass their entrance test for which you can directly apply through their website. If you enquire about NITs, so there is no possibility with this rank. Though, you can try for the lower two NITs that are NIT-Pondicherry and N

You need to qualify JEE Mains. You should score above 75% in HSC.

I would suggest you try for the best colleges. Dr. Bhimrao Ambedkar University- Khandari is also a good college with impressive infrastructure and knowledgeable faculty.

Use your WBJEE 2018 rank to see where you can get admission at the link provided below:
See the courses, colleges & rounds you may crack.
The result is based on admissions data of WBJEE 2017.
Get resources & insights on colleges & courses:
https://www.shiksha.com/b-tech/resources/wbjee-college-predictor

IET-Lucknow gives admissions on the basis of UPSEEE and not with Mains score. Kindly appear for the same to get into IET.
Best of luck.

Though, Advance will not affect your NIT admissions and so the JEE Mains will do. Kindly mention your JEE Mains marks and category to get the possible choices of college for you.

No, you are not eligible for appearing in IIT. You can reappear for your intermediate exams. If you want to go for IIT Advanced, you need to reappear for all the subjects, whereas, if you want to clear JEE Mains then you can apply for the only PCM.
Eligibility for IIT:
60 % marks in PCM.
75 % total a