Bangalore

Yes. You need to appear for the exam and need to have a very good score to enter Anna University. Only through counselling we can take Anna to university. So TANCET score is mandatory.

Choose your college according to faculty because faculty is the main in any college.

You can check out the cutoff of some University in Tamil Nadu and see if a seat is available.

Around 60% of students were placed.

https://www.shiksha.com/college/ramaiah-institute-of-technology-m-s-r-Nagar-Bangalore-474
You will find all the true and authentic information about your college here.

https://www.shiksha.com/college/government-arts-college-salem-71775
You will find all the true and authentic information about your college here

https://www.shiksha.com/mba/colleges/mba-colleges-Bangalore
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.shiksha.com/mba/colleges/mba-colleges-Pune&ved=2ahUKEwiv7-nz_pL3AhXm7XMBHSa0DsoQFnoECDYQAQ&usg=AOvVaw2Icr21d5sD3UL_6VMMvjxi
You can check here.

Yes, You can give the NEET exam while in your graduation. If you got selected and got a medical college then you just have to get a migration out of your B.Sc. Course and submit it to the medical college you get.
1st year B.Sc. Students have a awesome opportunity to score good marks in NEET as their knowledge about the exam is very new and their subject knowledge is also intact. They can easily clear the cutoff by proper preparation.

You can go through the following page of Shiksha
https://www.shiksha.com/university/university-of-agricultural-sciences-Bangalore-23402/cutoff.

Refer the following:
https://www.shiksha.com/bba/articles/why-an-online-bba-course-is-need-of-the-hour-blogId-21929