Science Eligibility

Sorry, I don't have any Idea about Sydenham college as such. But as per my knowledge, Sydenham accept scores more than 99% in MAT as it is the top most college. So, there acceptance ratio is also high.

Eligibility for a Marine Biologist
Educational
The minimum educational requirement for an entry-level job as a Marine biologist is Bachelor of Science degree with a focus on Marine biology. However, most preferred is a Masters degree in Marine biology. For research and university teaching positions, PhD in Marine biology is required.
Marine biology areas of study include systematics, ecology, anatomy, physiology, biochemistry, pathology, parasitology, reproduction and development, mariculture, ocean farming, pollution biology, energy resources and conservation.

The eligibility criteria is you need to have 4 years integrated degree course of Regional College of Education of NCERT with at least 50% marks in the concerned subject as well as in the aggregate or
A Bachelor's degree or equivalent from a recognized university with 50% marks or above in aggregate as well as in the concerned subject comprising the combination as under:
(B) B.Ed. or equivalent from a recognized University.
(C) Should pass Central Teacher Eligibility Test (CTET) conducted by CBSE.
(D) Maximum age limit for TGT teacher is 35 years.

Yes, you can apply for TGT social science as you fulfil all the criteria.