Architecture

Check the colleges and courses below :
http://yellowpages.sulekha.com/architecture-correspondence-institutes_hyderabad_contacts

Refer the below mentioned link :
https://www.resonance.ac.in/reso/news/JEE-Main-Branch-Predictor.aspx

Now a days universities consider not only academics score but also marks scored in various entrance tests. So, in case student didn't scored well during his/her previous qualification they can give entrance test of the university in which they are thinking to get admission. Some of the universities which conduct their own entrance tests are JNU, Lovely Professional University, Delhi University etc.

Now u cant take any seat in nit or due to new rules of josaa.

Sadly, no. Because the cut-offs for B.Arch. in other state quota for SC category ended at below 1000 for all four rounds of CSAB in 2015. Considering this year's first cut-off, the trend seems to be the same, with the cut-off maybe reaching around 1500, but not higher than that. I'm sorry, but you won't be able to get admission into this college in B.Arch.

First of all, congratulations on securing 114 marks in NATA. No, you may not get Sir JJ college. There are a lot of good colleges and here is a link for all approved architecture colleges across India -
https://www.coa.gov.in/index1.php?lang=1&level=0&linkid=25&lid=26

Yes, chances are there.
But you have scored exceptionally good and you can easily get BMS Ramaiah if not R.V.
Hope for the Best
Good Luck !

B.Arch (Architecture) is different from solution architect (CSE).

First of all congratulations on securing 114 in NATA and yes, you may get admission in that college.