B.Tech

As per AICTE (All India Council for Technical Education), B.Tech courses can't be provided through distance education.
Beware of any such college which offers you B.E/B.Tech through distance.

Yes, there are many good colleges for M.Tech in civil engineering.
You can appear in GATE exam for getting admission in colleges of national importance or you can get admission in BITS Pilani, VIT, Jadavpur University, Anna University and KIIT College.

Firstly, you have to score more than 75% marks in class 12th or be in top 20 percentile of your board for being eligible for admission and then you have to score more than 150 marks to get admission into NIT, Warangal.

You can get admission in Amity, Sharda, LPU, Noida International University, Galgotia’s University, Kalasalingam University, Saveetha Engineering College, etc. You can also get scholarship in some colleges.

Class 10th marks do not matter to get admission for B.Tech. You need 75% in 12th to get into NITs/IITs/CFTIs for B.Tech. For SFTI’s you need 45% marks in PCM, for state government aided it differs.

You can do BA in Hindi from IGNOU / any other distance learning programme.

Yes, follow the link:
http://www.samundra.com/html/Applications/CombinedDNSandGMEApplication/application_Btechl.html

You can get many private colleges such as LPU, Amity, Sharda, Noida International University, Chandigarh University, Galgotias University, Sikkim Manipal University, MS Ramaiah, Acharya Engineering College, Saveetha Engineering College, Kalasalingam University or Techno India University based on you

You should appear for JEE Mains / state entrance exam of your state or you can give VITEEE, SRMJEE, BITSAT or KIITEE to get admission for BE in mechanical engineering.