I am a Indian passport holder and have booked a single ticket from New Delhi to Port of Spain via Amsterdam and Curaçao. From New Delhi to Curaçao, I am traveling by KLM and from Curaçao to Port of Spain, by Insel air. Although I booked single ticket, The KLM authorities told me that I will receive my luggage in Curaçao and I will have to get boarding pass for Curaçao to Port of Spain in Curaçao. I don't have any visa for Curaçao. Do I need to pass through immigration for getting my luggage for recheck in or it will be automatically transferred to Insel Air at Curaçao?
You always need to clear immigration to pick up luggage.
So yes, you will need a visa for Curacao, which you apply for at the Dutch embassy.