M.Tech

Hello Akansha,
The answer to your query is not available on the website of this Institute. But other useful information is available that may help you in getting your query solved. I'm attaching a link that will give you all the required information about your query:
http://www.kitmkarnal.com/#

Many universities conduct their own entrance exam also to fill the rest seats. But I am not sure that you will get admission because of your UG degree.

If you are not able to meet the eligibility criteria for the M.Tech examination then it will be problematic. As you also have an year gap, I think it will be better for you to start working or even join as an intern in a good company
After good work experience, your poor academics score will be overshadowed. Then maybe you can opt for M.Tech.

Dear Faizan!
It is not possible to do Engineering and Medical course through Correspondence mode. Doing so is the violation of the rules laid by AICTE and MCI. And if any university offers this course with correspondence mode, UGC can cancel, it's registry and student will not get the recognised certificate.
Hope this helps.
Good Luck.

Yes, ofcourse but only if you are capable of applicable knowledge and basic skills with a proper stiff.
If no, it may not be possible only in IITs or NITs but also in any other institutes.