M.Sc Computer Science

Please check for your eligibility to pursue this course from the criteria mentioned below:
Eligibility for M.Sc. Computer Science:
The basic eligibility for M.Sc. Computer Science course has been mentioned below. Candidates must have completed graduation in B.Sc. (H) Computer Science or B.Sc. Applied Physical Sciences with Mathematics and Computer Science
Candidates who have completed B.Sc. (General) Mathematical Sciences, (10+2+3 scheme) with Mathematics and Computer Science are also eligible to apply. Regards.

Accordingly, you are not eligible for M.Sc CS after B.Sc PCM because for M.Sc CS admissions the candidate must have be a graduate from B.Sc computer science or technology. If you are interested in technological field then you can opt MCA.

Please check for your eligibility to apply for KTET from the criteria mentioned at the link provided below:
https://www.shiksha.com/teaching-education/exams/ktet.

You can apply for NIT Trichy or BIT Mesra.

It is good enough. But, generally doing MCA after BCA is often preferred.