Architecture

I don't think you can get any college through JoSAA. Try for private college or state government college.

http://www.nata.in/
Have a look at this site.

Hi
You can apply in NATA in your class 12th. https://www.shiksha.com/architecture-planning/nata-exam-syllabus.

Following are a few colleges in Pune offering MBA in the desired specialisation.
1. SCMHRD Pune
2. IIMS Pune
3. ISMR Pune.

Private colleges are the only options. The following colleges can admit you on the basis of JEE Main Paper-2 rank you obtained.
1. LPU Phagwara
2. Chandigarh University
3. Amity University
4. GITAM School of Architecture, Hyderabad
5. AJEENKYA Dy. Patil University, Pune.

Following colleges in Bangalore could be the best for you.
1. Christ University
2. PES University
3. REVA University.

For JEE Advanced, you need to qualify JEE Mains paper 1. Paper 2 is only for B.Arch colleges.

Hello,
If you have cleared paper 2 of JEE Mains then of course you are eligible.

Visit - http://dypatildistancemba.com/OnlineMBA/

Your expected JEE Main rank is above 19000. While for admission in NITs, The rank should be below 2000. hence the admission chances for NITs and SPAs are very less . However your friend have another chance for improvement in April-2020. So ask him to improve his JEE Main percentile up to 98 for better options.