Engineering

You can check the official website of the university. Here is the link:
http://www.medicaps.ac.in/.

Yes, you are. But please be more specific as what rank you got and all so we could help you even more.
Cheers.

I cannot provide the exact details of the ranks but you have to get between 1300 to 3500 to get electrical and electronics in NIT-Trichy.

Both are good. Your 1st preference should be DY Patil, Akurdi and 2nd is Amity-Mumbai. If you are getting one of them, take it. They both are good in terms of facilities, faculty, placements, campus, etc.
All the best.

I am sorry, you don't have any chance of getting NIT-Trichy for civil engineering.

IN DTU, it is tough to get admission but in NCR, there are many colleges available for you on the basis of your rank.
Click on the below link and watch the video till the end-
https://youtu.be/hOlit6Un7l0
After watching the video, follow the steps as directed in the video.

Sorry, but chances are low because the cut-offs are high. There are 60 seats for Diploma in civil engineering. But the competition is too much. You can try for other colleges.
Good luck.

I think NIT electrical will give you more exposure. NIT-Trichy always hit its 100% record in all most all UG courses. IIT-BHU has its brand name just like other IITs. It's completely up to you to decide now.

Dear, The time period of November-December is to register yourself for various competitive exams like JEE, VIT, BITSAT etc. The exams are held in the March-June period. Hope this helps. Good luck.