Engineering Entrance Exam

The best government colleges for architecture are JJ College of Architecture, Chandigarh College of Architecture, School of Planning and Architecture-New Delhi and Department of Architecture and Planning-Roorkee.
All these colleges altogether do not have more than 250 seats within them. So, you are not likely to get into any of them. Though, you can get into other good colleges such as RV College of Engineering or Manipal University or Modi University.

Actually, FIITJEE is better than Resonance for IIT-JEE Mains+Advanced coaching. FIITJEE is good in terms of practice papers, daily tests, doubts clarification, detail explanation, grand tests, etc.

You might have a chance if you have any reservation criteria else give it a try. You have very great chance to get into this institute with this rank.
Attend the counselling and choose your options appropriately.
Try shiksha college predictor for better analysis.

The rank is in the range between 17000 to 300000.

You might have a chance if you have any reservation criteria else give it a try. You have very great chance to get into this institute with this rank. Attend the counselling and choose your options appropriately. Try Shiksha college predictor for better analysis.

Cutoff marks vary every year, so I would say according to cutoff ranks, CSE -within 50k, mechanical-within 80k
Electrical- within 90k
Civil- within 1.2lakhs, etc., - within 1.5 lakhs, chemical- within 2.01 Lacs, Metallurgy and production- within 2.5 Lacs.

Yes, you can get a seat in VSSUT happily. By looking at last year stats i.e. 2017, girls having ranks of 2lakhs in JEE mains have got mechanical engineering branch in VSSUT, so it might not be difficult for you to get a seat in VSSUT, as you have secured a good rank.

I am enlisting top colleges with their fee structure:
Centre For Environmental Planning & TechnologyAhmedabad-1,61,000
Lovely Professional University - 19500
Jadavpur UniversityKolkata-2,730
School of Planning and Architecture Delhi-46,300
NIMS UniversityJaipur-1,11,000
Sir J. College Of ArchitectureMumbai-17,800
Indian Institute of TechnologyKharagpur-74,000
National Institute of TechnologyThiruchirapalli-39,400
Jamia Millia IslamiaNew Delhi-64,500
Manipal UniversityManipal-3,04,000

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