Degree

You can appear for almost all government exams that requires a Bachelor's, another option would be bank exams or teaching job or you can become a consultant or research analyst. But, the best option would be to go for a Masters course as well.

Yes, you can take up BA in Anthropology after 12th. The eligibility is just 10+2 from any stream so any student passing 12 can take up B.A. In Anthropology. The duration of this degree course is three years and is covered under 6 seems. Some of the entrance exams conducted for admission to B.A. Anthropology course are
AUCET (Andhra University Admission Test), Andhra Pradesh
UET (Lucknow University Entrance Test), UP
Viva-Bharti University Entrance Test, KOLKATA
DUET (Dibrugarh University Entrance Test), Assam.

Bachelor medicine, Bachelor of Surgery MBBS. Bachelor of Dental Surgery BDS. Bachelor of Ayurvedic Medicine and Surgery BAMS. Bachelor of Homeopathic Medicine and Surgery BHMS. Bachelor of Unani Medicine and Surgery - BUMS.

Hi,
Vishwakarma Institute is not famous very well. But, he is globally recognized.

This is somethings that we do not have clarity on. In some sections of the internet and media, it claims that the UGC expert committee had agreed to allow students to opt for one regular and another distance or correspondence Bachelor's program in 2013. But there is other news that says in 2016 UGC did not allow students to take two Bachelor's programs. So I would suggest you contact your university or college and discuss your dilemma. If the college or university has no issue then you can pursue it without any problem.

No, you can't, there used to be an exception in earlier times, but I am not sure, whether that's applicable now. Students with good marks in class 12th can apply without entrance.

You can complete your graduation with subjects like economics, history, maths etc. English and reasoning should be strong for cracking the exam. All the Best.

If you will do M.Tech or MBA from a good college; then it will not matter much from which college you do B.Tech. Higher Degree College matter the most.

Those kind of details are not available publicly. The current class strength or programme strength has not been indicated by Amity University in their website.