Engineer

No, as they didn't mention EEE in their list of eligibility.

Check out IGNOU website. They might have good courses.

Last date of registration for KIITEE exam for engineering is 31st March 2020.

Data Science comprises of different disciplines which include Statistics, Machine Learning, Data Analysis, Computer Science, and Research. So, there is a lot of scope for data science career there.
one of the top Indian Job seeking sites say more than 25,000+ jobs are there in India just for Data Scientist. According to the Indian Times analysis; recently, business report reveals that 50,000 jobs in Data Scientist and Machine learning. This shows how business analytics increased in India.

Chemical engineering, Biochemical engineering. Biomedical engineering. Chemical process modeling and design. Environmental engineering. Membrane separation processes. Materials Science and technology. Nanotechnology. Rubber technology. Etc.

GATE is graduate aptitude test in engineering. I mean it provides a way to further studies like Masters.

Yes. Life doesn't end girl, chill. You can apply in Sharda University, Galgotias University, Ansal University
Try private. They assure jobs.

You are eligible as there are many private colleges. Our college offers B.E courses in CSE, ECE, EEE, ME, ISE & Civil. For further details, kindly look into our college website www.citech.edu.in. Thank you.

You are eligible for many colleges but surely not for NIT or IIIT. See you can appear for Mains next year as it can be written 3 times after giving 12th boards. Make sure management quota seats are available in almost all colleges and that creates a good opportunity for you.