Psychology

Yes, graduation is necessary for any professional course.

Dear,
Yes, you are eligible because as per the eligibility criteria, one should have a Master's degree in relevant stream with a minimum of 55-60% ( percentage bar could vary from university to university).
And you have to take a test and face an interview in respect to the university admission process.
You need to take the same for the particular University in which you want to apply.
All the best.

Dear,
There is no change in the degree name whether it is a BA or B.Sc in psychology. The only difference is the name of the degree from different universities. And if you want to become a psychologist then you have to complete your Masters in clinical psychology and then M.Phil in the same.
After that only you would get the license from RCI.
All the best.

Hi Amrita,
You can pursue your further studies after completing a course from a recognized DDE. However, the admission requirements are different with every university or college. You must check with the colleges and you must check, if they accept 3 year Bachelor's degree.

BA honors psychology is a niche branch with comparatively lesser job opportunities in comparison to graduation degree in engineering. If you do specialization in MA psychology, then you can get good jobs.

Dear,
The require percentage is minimum 50% in most of the colleges for Psychology programme in Delhi. But, the admission process would be different that you need to check from particular university and specially in Delhi University there will be percentage cut-off.
All the best.