Engineering

Both have numerous opportunities, but what you want to achieve in life that's more important. If your goal is matching with B.Com, then go for it or else for other. If you don't know which will be a better option for you then without any doubt go for B.Tech. In B.Tech you will learn many new things and also most probably you will know your goal. Also, B.Tech has more opportunities by the way.

Congrats on getting admission at ICT Mumbai, all the best.

Chances are very less in JoSAA rounds, but you can try in CSAB rounds. You may get lower NITS like NIT Kurukshetra, NIT Hamirpur, NKT Srinagar, eastern side NITS & may be your home state NIT.

In some colleges you are eligible, but in most big colleges you are not eligible. It's generally difficult for a student to study the course without basic biology in class 12th.

Qualifying marks for JEE Mains / advance varies every year according to the difficulties of paper and no of students appeared for exam and no of seats available. Give your best because there is no fix qualifying marks and also by qualifying only you can't get college. You have to score good marks. So try to score more than 180 in JEE Mains and try to score more than 40 - 50 % marks in advance.

Yes distance education in M.Tech is available in India. You can do this in various discipline like computer engineering, civil engineering, ECE. Several institute that offers distant education for M.Tech are :
Karnataka Open University
Thapar Institute of Engineering and Technology
Amity University.

Most of the institute take admission through BCECE-LE. Some of the colleges are Bhagalpur College of Engineering, Gaya College of engineering, Arayabhaytta College of Engineering.

No, course cannot be done on part-time with any other course.
But, if you are referring for part time with job, you can do that. But, stills batch is not soft stone to crack.

You can visit this link for your queries. https://www.shiksha.com/university/sathyabama-institute-of-science-and-technology-chennai-23588