Indian Institute of Technology, Delhi

Expected Cut-Off up to 7 round is 3429
https://www.shiksha.com/university/iit-delhi-indian-institute-of-technology-iitd-53938/cutoff-jee-advanced
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Go to any school it won't matter, join a good coaching institute and then focus on your preparation. You will get enough time to polish your skills to get into an IIT.

Don't compare them on the basis of the package. Do whatever you really want to, else after joining wrong course will make you regret whole life. Although I will suggest to for IIM whatever you get, rest is your choice.

Hi,
Follow this link to predict your rank:
https://www.shiksha.com/engineering/jee-main-rank-predictor

Just go through this link and fill out the required details:
https://www.shiksha.com/college-predictor

100 is sufficient to get IIT, but I am not sure that you will get a CS branch, you can get into BS in Physics or Maths or else ocean and naval architecture course, and it is also good.

Even if you have lost the chance to appear for JEE Mains in January, there is no need to worry since NTA will be conducting the exam again in April. There is no point in focusing on MCA after BTech from IIT. You should aim for MTech. However, if you want to do MCA then instead of BTech in IIT, you may do BCA after class 12th.

You must have science in your class 12th from any recognized board and must have secured 75% in the board exams.

For that, you need to clear Mains as well as Advance.