Nagpur

You need to appear for an entrance test. Please refer to the link below for details:
https://www.shiksha.com/science/course/b-sc-in-food-science-and-technology-babasaheb-bhimrao-ambedkar-university-amethi-satellite-campus-lucknow-270447

It's above 180 in Nagpur. You have to score 180 and above to get a seat for fire and safety. This fire and safety is a rare branch and also has less seats in most of the colleges.

The last year cutoff for management was somewhere 146 for CSE. You can get through Management in mechanical, chemical or Civil or EEE. For general CSE, it was 160 though it slipped to 126 for CSE in 5th round. So, don't lose hope as you are likely to get ECE if the cutoff still dropped which has around 90% chances as every year.

Yes, you can get VNIT, Nagpur for architecture.

You can use this link to find out best colleges for you. This is Shiksha's official college predictor tool based on previous years data. Hope this helps. All the best. https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=cconnect&utm_medium=CR_JEECP&utm_campaign=6375912.

Hello,
Firstly congratulations to you. It is all about your interest. But, if you think about the placements, then NIT-Nagpur is quite better than NIT-Suratkal.

You should go for NIT calicut.

Both are good and I think you can choose according to your location and comfortability. For your reference the placement stats link is:
http://www.mnnit.ac.in/tnp/placement/placementarchive.php

Dear, I think you'll definitely get admission at VNIT Nagpur. You can go through last year cutoffs at josaa website. You can apply for counseling,the seat allocation will provide you an idea about it. All the best.