Colleges in Tamil Nadu - Other

Pursuing Master's degree gives you more opportunities than UG holders.
The government of India offers lots of career opportunities to the job seekers after their Masters' programme.
Postgraduates are highly preferred in the government sectors like teaching, research and in many central government jobs.

Surely, you can get pharmacy in SRM. I am not sure about B.Pharmacy if there is any such course.

B.Sc. (Computer Science) from Annamalai University (Distance Education), Tamil Nadu is a distance/correspondence degree offered by the institute. For further details regarding this course please refer to the link provided below:
https://www.shiksha.com/it-software/course/b-sc-computer-science-annamalai-university-distance-education-tamil-nadu-tamil-nadu-other-68354

B.Sc. (Computer Science) from Annamalai University (Distance Education), Tamil Nadu is a distance/correspondence degree offered by the institute. For further details regarding this course please refer to the link provided below. Regards.
https://www.shiksha.com/it-software/course/b-sc-computer-science-annamalai-university-distance-education-tamil-nadu-tamil-nadu-other-68354

10+2 from any stream with a maximum of 60%.

Hello Kishore,
I think you will be able to take admission for second course in parallel with your BE in an open university. But just make sure that you do not give any wrong declaration while filling up forms. Study in any area including psychology is always useful in one's career.