UPES

Please refer this official FAQ for your every query about the college recognition.
http://www.upes.ac.in/FAQs

No, UPES doesn't have any specified course for mass communication neither in Undergraduate nor in Postgraduate. However, that is taught throughout in each course offered.

Yes, from wherever you belong, you can definitely give the Common Entrance Test.
There are various CET exams like JEE Mains, MUOET, MH-CET etc. Please tell which exam you want to give so that we can elaborate about it.

It is fair if you can opt for career in oil and gas in MBA as many of the students from B.Tech branches opt for MBA in oil and gas. Apart from all the placements, oil and gas is highest placing branch in our college. As 4-5 days ago one of our students from the same batch got a placement of 19 LPA. So doing MBA from oil and gas department is good enough.

There are lot of opportunities provided with various companies exposure.

It is not tough. Just do your best.

Just go for IIT-JEE Mains and Advance, and for specifically in Noida, fill up all the forms for the Universities in Noida.

It is good, but better options can be preferred.

You need to take the UPESEAT exam. Afterwards, you will get to know the vacancy during the counselling.

Yes, you can get admission in UPES with this rank. But the availability of any branch solely depends on the applications and the availability of seats for a particular branch which you can get to know during the time of your counseling since it runs in real-time.