B.Tech

Both are equivalent till now, choose whichever is nearer to your hometown.

This is true in case of all NITs but not in case of IIITs. With below 1 lac income, you don't have to give tuition fee.

Go to jossa website, you will find everything there. The link is:
https://josaa.nic.in/webinfocms/Public/View.aspx?page=71
Here you can get the answer of your question.

No, you have to give WBJEE exam for that.

Hello Nikhil,
Ye,s you are eligible for Automobile Engineering after completing B.Tech in any stream. You have to give GATE in ME subject for that. You can take Admission in Colleges which offer M.Tech in Automobile Engineering. List of Colleges offering M.Tech Automobile Engineering is in the link below. https://www.shiksha.com/engineering/colleges/m-tech-automobile-engineering-colleges-india
If you are satisfied with my answer, then please Upvote it. Thank you and All The Best!

In terms of employability, both the colleges provide good placement in Computer Science branch. You can give you first preference to Hindustan institute of Technology.

Yes, you can get government college, but there are only 70% chances on the basis of your GL rank.

I would suggest you do B.Tech food technology because dual degree courses are not that much valuable.
Good luck.

It would be better for you to do a recognised short term course in entrepreneurship from a well-known Institution. I would suggest you to do correspondence Diploma of 1year duration from "Entrepreneurship Development Institute of India" Gujarat. The fees is reasonable and the faculty is good. You will be taught all the ins and outs of the business thoroughly. Follow the link:-
http://www.ediindia.org/open_learning_programme_in_entrepreneurship
Best wishes.

In 2018, it is almost INR 20 lacs (including hostel fees) for 4 years and fees goes on increasing every semester. There is no bar on increase in fees every semester. For more details, visit: http://www.thapar.edu/students/pages/fee-circular-and-fee-chart.