LLB

Yes, it is as it is affiliated to Sardar Patel University.
Please check: https://www.shiksha.com/college/shree-p-m-patel-college-of-human-rights-law-anand-43948

You can seek admission in 3 years LLB offered by universities in their law faculty. Different universities have their own admission process based on entrance examinations. You may look at websites of your targeted universities.

Hello Saranya,
Normally speaking if the fees at both courses is same your college will allow shift. If it's question of you leaving present college and joining another college then it's very very tough. Of course not impossible.

Gourav, min.requirement to get enrolled for LLB is graduation so you need to do any graduate degree for admission in LLB.
These days, universities like Lovely, Sharda, Nirma, etc are offering Integrated BA/ BBA/ B.Com-LLB degrees, where students get to save one year as this course gets over in 5 years where as if you do them separately it takes 6 years to finish LLB.
Check the websites for more details.
Good Luck.

LLM is nothing it's just Master's degree in a particular field. After LLM, if you want to be professor, you can be easily go through in teaching field.

You can check: https://goo.gl/djH3nU