Engineering

You will get answer key after the JEE Main exam get over within 5 - 6 days on JEE Main. Nic. in portal.

At the end of this month.

It is good that you have another activity apart from academics. Its an advantage, as you can explore yourself in college and you will stand away from crowd! So, yes you can pursue your engineering along with your passion. It is the matter of time management. My suggestion is whenever you are in class focus on the lectures so that it will become easy for you during exams. There is one university name quantam university, Roorkee which has courses in arts. For more information use below link
http://www.quantumuniversity.edu.in/admissions.

Admission process for SGSITS is based on JEE Mains score. You have to apply for Madhya Pradesh counselling and based on your score you will get selected for the same.

https://www.shiksha.com/university/ou-osmania-university-hyderabad-25100/admission
Here is the complete admission procedure to get admission in this college.

https://www.shiksha.com/engineering/colleges/m-tech-structural-engineering-colleges-india
Here is the list of the top colleges that provide M.Tech in India.

You just need to work in the right direction and solve as many papers as you can.

Firstly, head start with a good score and then look after colleges. As the pattern has changed, you should have some tips, proper plan and a schedule.

You can refer this bog for complete information and get ahead for your competitive exams.