Sociology

Yes, visit the below link for all the details related to the course:
https://www.shiksha.com/humanities-social-sciences/course/b-a-in-criminology-and-police-administration-institute-of-distance-education-university-of-madras-chepauk-chennai-289332

Eligibility for B.A. in criminology and police administration in UNOM is:
The candidate must have passed his/her 10+2 from a recognised board. Admission is based on the marks obtained in 10+2.
For more details: https://www.shiksha.com/humanities-social-sciences/course/b-a-in-criminology-and-police-administration-institute-of-distance-education-university-of-madras-chepauk-chennai-289332

If you are planning for a Bachelors degree in criminology, then you must have completed your higher secondary schooling in arts or science. The basic criterion of eligibility needed to be met for admission to the course is a Higher Secondary (10+2) or equivalent qualification from a recognised educational board with physics, chemistry and biology and/ or maths as main subjects and a minimum aggregate score of 55%.

Could you please specify where do you wish to apply?

Dear Srinivasan,
You can pursue B.A. (Criminology) in various colleges in Chennai like D. G. Vaishnav College, Prof. Dhanapalan College, etc., you can pursue career in Police Department, Journalism, Forensic Department, Teaching in Colleges and Research also.

One of them is more art based and the other one more Science based. But what does it mean when it comes to a subject like criminology? I'd like to study for example criminology and criminal justice, which is always B.Sc. I think, but I've never been good at Science. So, I'm not sure if BA/B.Sc matters that much.

You can apply online for this university link: https://www.ideunom.ac.in/

Yes, you can apply but you should have at least 50% marks in graduation.

yes you can apply for MA sociology. you are eligible for the same.
good luck