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You can prepare for GATE 2022 by both means. If you want to prepare by coaching then prefer Made easy institute as it only provides the coaching for GATE exam. The cut off varies yearly to get admission in IITs. It depends on the branch and level of the exam. On an average the marks required to get admission in IITs is around 28-40 depending upon the categories, branch and exam level.

https://www.shiksha.com/tags/cgpsc-exam-tdp-422158
You will find all the true and authentic information about your college here.

It is great to know that you are interested in doing your graduation in engineering in aeronautical engineering branch after completion of your diploma in engineering. The best is of course IIT. You will need to score at least 75% in the Diploma and then clear JEE mains and JEE advanced for this. Else I am attaching a link that will give you all the required information about different colleges which offer this branch.
https://www.shiksha.com/engineering/colleges/b-tech-in-aerospace-engineering-colleges-india
Best wishes to you.

Hello Umesh, it's very nice to hear from you that you have completed your engineering graduation in mechanical branch and is looking for opportunities. Let me assure that there are plenty of opportunities. You can think of taking civil services examination. You can take AFCAT or CDS for joining armed forces. You can think of doing your PG in engineering or MBA. You can even become an entrepreneur. Best wishes to you.

Yes, you can take admission in architecture college.
IGNOU is the best university that offers architectural courses in India through distance learning.