Degree

Hi,
Yes, you can apply for PGT or TGT with your special degree (I think you are taking about - Integrated Degree).

As an engineering graduate I don't want to suppress your dream but engineering career is money making process for private colleges. If you really want to go in the field of engineering then try for IIT and AIEEE. In my opinion you shall take admission for B.Sc and prepare for government exams and if you are interested in private jobs then pursue B.Sc and job oriented course.

You can't do like that. Directly into 2nd year or 3rd year. Everything is designed systematic and if your attending regular college you need to proceed to the 2nd year only after completing 1st year. I doubt you can do 2nd year or 3rd year directly even in correspondence. There is rules and regulations in completing the course.

You are advised to appear for Civil Services Examination, Indian Engineering Services Examination, Combined Defense Services Examination, Asst Commandant exam, Indian Forest Service exam etc conducted by UPSC to join Central Government as Group A (Class I) officers job.

Please visit this website for information:
btechle17.dtu.ac.in

WES is a non-profit organization that provides an expert credential evaluation. Which means they evaluate your degree and establish the equivalency in USA and Canada. They are not a membership organization, so your university cannot be registered with WES. If your university is recognised as a valid university by the Government of India then it will be considered by WES. However, most universities accept equivalency of full-time degrees. Distance education credits may not be considered. Please check with your university if they will accept distance education credits before you go for the WES equivalency.

Hello Abhinav,
No, you cannot as the candidates should possess a valid score in the Common Admissions Test (CAT) conducted by the Indian Institutes of Management and not MAT scores.
You may refer:
https://doms.iitm.ac.in/index.php/admissions/mba-admissions/eligibility-and-selection
Following are the top MBA colleges accepting MAT scores:
https://www.shiksha.com/mba/ranking/top-mba-colleges-in-india-accepting-mat/2-2-0-0-306