Psychology

Yes, their entrance exam is conducted for admission in journalism for UG course.

The updated syllabus can be easily found at:
http://jmi.ac.in/studyatjamia/Syllabi/entrancetest

No, it comes under School of Human Ecology and two MA courses are offered in that Centre:
(1) Master of Arts in Applied Psychology (Clinical Psychology)
(2) Master of Arts in Applied Psychology (Counseling Psychology)

Some useful books that will help you in scoring well in your English entrance in JMI are mentioned below:
1) Manorama year book (the latest)
2) A Compendium of Essays:Amazon:Books
3) Wren and Martin
Also, read newspapers to keep up with current trends and information. Regards.

Educational requirements to becoming a psychologist:
Psychologists require significant formal education. Becoming a licensed psychologist requires a graduate degree; however, with a Bachelor's degree you can work in the field of psychology, as an assistant or in a federal government department. Disciplines where you do not work directly with patients, such as industrial-organizational psychology, can be practiced with a master's degree, but patient care requires completion of a doctorate, which can involve significant clinical work experience. Psychologists must also maintain a license in order to practice. Regards.

The colleges and universities offering M.A. Psychology are:
1. Indira Gandhi National Open University (IGNOU).
2. Annamalai University.
3. Osmania University.
4. Acharya Nagarjuna University.
5. Andhra University and many more.

XII with minimum 50% marks in best four relevant subjects
For Migration from Other Universities:
1) BA (Hons.) Applied Psychology Ist yr. minimum 60% marks or 6.0 CGPA on a 10 point scale
2) 50% or above at XII level in Best Four relevant subjects

Since you have completed M.Sc in Psychology, you would have to select Psychology as your subject in the UGC NET exam. Moreover, you need a 55% pass mark in graduation to be eligible to appear for the UGC NET exam 2018.
Regards.