JEE

You are likely to get the best colleges in India with such a big rank. I would suggest NIT Trichy, NIT Kozhikode, BMS College of Engineering, College of Architecture, Chandigarh and RV College of Engineering.
Note: Kindly check the least board marks for colleges as mostly for general, these marks are

Sorry, but it is number one college in India with very limited seats in architecture and planning. Kindly prefer other options for it.

Since you have done the field related to medical and too engineering too. Though, I would suggest you to take the decision on your privacy, comforts and taking your ambitions on scale. Medical is practically a costly field and a hard work to put into more theoretical knowledge for long and then into

Yes, you have good chances of getting government colleges. There are many government colleges in which you can get admission because your rank is good.

These scholarships are based upon the states and students, distinguished by different branches and streams and though open to all the students of India. The link for the site –
http://www.ccbnic.in/
Hope this helps. Kindly mention if this won't cover your query.

The cutoff for Rachana Sansad Mumbai:
For, Academy Of Architecture | Aided
Cut off is 155.35 /200
State rank cutoff - 82
For, Academy Of Architecture | Unaided
Cut off is 154
State rank cutoff - 92 (Cut-offs are of open category).

Yes, there are many colleges which accept Mains paper - 2 as well, still there are many which accept only NATA. Some recommendations are BMS College or Engineering, NIT Trichy, NIT Kozhikode and RV College of Architecture.

I would suggest you to go through the link to filter the colleges on all your comforts:
https://www.shiksha.com/architecture-planning/colleges/b-arch-colleges-mumbai-all

The tuition fee per year for BCA in DY Patil is 55000/- INR. For more information regarding this course, kindly follow the link:
http://www.dypiu.com/bca-mobile-application-and-information-security.php

You can get a seat in NIT-Kozhikode, NIT-Trichy (less likely), RV College of Engineering, Modi University and BMS College of Engineering.