Statement I and statement II are independent sentences. Statement I talks about a person who is a creative writer and statement II states about his work. 'Being' is used to introduce a reason for what one is saying. 'Since' is used to introduce a clause/condition in a sentence. Statement II is giving the introduction of the person's work. So, 'being' and 'since' are the correct connectors here. 'While' means during the time that; at the same time as, which would be inappropriate to join the two sentences and therefore, is eliminated.
Being a creative writer, he has several novels and short stories to his credit, this is implying that he may be writing more books this year, in the present.
Since he is a creative writer, he has several novels and short stories to his credit, this is implying that he may be writing more books this year, in the present.
Hence, option (b) is correct choice.
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