Crikey! You are trapped in time AND space - back in the 18th century just prior to the arrival of Cook's Endeavour. What is NZ/Aotearoa like? What are you going to do? How will you survive?
This is the basis of your partly self-directed study. For the research component, what will you investigate? What new knowledge can you bring to your group to help you survive?
Stone age tool making? Traditional fishing techniques? An understanding of the flora and fauna of the time? Familiarity with traditional Maori etiquette or language? How to find drinking water? How to navigate using the stars?
Come up with your own ideas and I will help you construct your own research projects.
Have a go.