Ishwar Chandra Vidyasagar started the newspaper `Shome Prakash`.

Option 1, Dayanand Saraswati, is incorrect as he is known for starting the Arya Samaj and its publications, not the Shome Prakash.

Option 3, Raja Rammohan Roy, is also incorrect. He was a social reformer who founded the Brahmo Samaj, but did not establish the Shome Prakash.

Option 4, Surendranath Banerjee, was a prominent Congress leader and the founder of the newspaper `The Bengalee`, not the Shome Prakash.

Thus, the only correct answer is Option 2. Ishwar Chandra Vidyasagar, the social reformer and educationist from Bengal, started the newspaper `Shome Prakash`. This paper played a crucial role in addressing social issues and advocating for reforms.