M.Sc

Yes, you can apply for M.Sc in zoology as you are done with your graduation in zoology.
After completing your post-graduation if you want to become a researcher or lecturer, you can apply for CSIR NET Exam. It is a national eligibility test for science students to examine their knowledge required for holding the position of lecturer and research fellows at India's reputed institutes.
As you want to do M.Sc in zoology, the best option for you is CSIR NET Life Sciences or CSIR NET Earth Sciences. Get the complete details related to exam - https://www.eduncle.com/csir-net-exam must check out.
To apply for CSIR NET you have to score minimum 55% aggregate marks in Masters if you are from General/OBC Category or if you belong to SC/ST/PwD categories you have to score a minimum of 50% aggregate.

Please check for your eligibility to pursue M.Sc in Forensic Science from Guru Gobind Singh Indraprastha University from the criteria mentioned below:
Minimum Eligibility to Apply for M.Sc in Forensic Science from Guru Gobind Singh Indraprastha University is that candidate should have a pass mark of 50% in graduation with the mandatory course as B.Sc.
Candidate must have studied at least 2 years (4 semesters) of 3 years degree course in any 2 subjects from the following:
1. Physics
2. Chemistry
3. Biology (Zoology/ Genetics/ Biotechnology/ Physical Anthropology)
Other eligibility criteria:
Candidate must have completed B.Sc (Forensic Science) with minimum 50% marks from any recognized University (eligible only for specialization in Forensic Document Examination).
Age: Maximum 35 years
Admission is done through counselling based on the rank obtained in Guru Gobind Singh Indraprastha University Common Entrance Test (GGSIPU CET).
Regards.