Agra

Go to Kotak or Indore otherwise Delhi will be good option for preparation of IIT-JEE. These cities have good atmosphere for study.

You can go through the below mentioned names:
Agra College
Gyan Mahavidyalaya
Shri Lal Singh Degree College
Krishna College of Science & Rural Technology
Siddhant Raj Degree College
Smt. Laxmi Devi Mahila Educational Institute
Dr Bhim Rao Ambedkar University, [DBRAU] Agra

According to me, IHM institutes are better than any other private institutions.
All the best.

Kindly visit the link mentioned below:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

No, you will not get admission in DEI, Agra because your score of JEE Mains is too low and 60% in 12th is also not sufficient to get admission there. Your 10th CGPA is good but it is not calculated. But, you can get other best universities in your state as well as Delhi. Best of luck for your future and if there is any query, feel free to ask.

Fee structure of MBA in finance at IIMT Group of Colleges, Agra is mentioned below:
Total Fees:- INR 90,000 (Tuition Component)

IIT Bombay, IIIT Hyderabad, IIT Kanpur, IISc, NIT Trichy, NIT Warangal, IIT Kharagpur, BITS Pilani and DTU can be considered. These are the best colleges in India according to every perspective.

JEE Mains 2018 College Predictor
Use your JEE Mains 2018 rank to see where you can get admission at the link provided below:
See the courses, colleges & rounds you may crack
The result is based on admissions data of JEE Mains 2017
Get resources & insights on colleges & courses
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

Hello Ashwini,
The admissions to engineering colleges in UP is through either state level entrance exam or national level entrance exam and not directly. I am attaching a link that will give you all required information about admission in ACMT Agra. http://www.acmtagra.com/Aeronautical-Engineering.php.

Yes, in the last round of counselling, you can get the college for sure.