Engineering

Here is the complete admission procedure of this institute.
Just follow the link :
https://www.shiksha.com/college/shaheed-sukhdev-college-of-business-studies-rohini-Delhi-23975/admission

With this rank, there is very slight chance that you will get any NIT.
Best wishes.

With the above mentioned quota, yes there is slight chance that you will get your home state quota.
However, for good prediction you can follow
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

No entrance exam is required. You have to apply for lateral entry at the time of counseling. Counseling will held in June-July may be. Good luck.

According to the eligibility parameter of this college yes, you are eligible for the admission, you can apply for it.
Here are the admission procedure:
https://www.shiksha.com/college/ssn-college-of-engineering-ssnce-old-mahabalipuram-road-Chennai-23008/admission

Hi
you can follow the link:
https://www.shiksha.com/b-tech/ranking/top-civil-engineering-colleges-in-india/53-2-0-0-0
Echelon Institute of Technology Faridabad
Jayee Institute of Information Technology, Delhi
Pt L R College of Technology Faridabad
Ajay Kumar Garg Engineering College, Ghaziabad
Sharda University, Greater Noida
YMCA University of Science and Technology Faridabad
Indraprastha Engineering College, Ghaziabad
Galgotias College of Engineering, Greater Noida
Amity school of Engineering and Technology, Delhi.

You cannot shift college, if you are in the same college then you are eligible for 2nd year.

Here you will get the fees structure for all the courses
https://www.shiksha.com/college/mec-kochi-government-model-engineering-college-20660

Yes, Coachi Univesrity comes under one of best university of India.
I would suggest you to follow this, it will help you
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.