Wanting to go to Okinawa

So I have been in an internship in Tokyo for almost 2 months and just after my internship ends I want to end on a trip and want to see more of Japan / a different side. So I landed on Okinawa. But right now I feel very overwhelmed regarding what island to go to. I really want to spend time outside and see a lot of nature, beaches, coral reefs, snorkelling, but also want to see the culture. Although nature is my main point why I want to go to Okinawa, I am looking for the really light blue water and green forrests and so on. But I am only there for a "few" days so probably around 4 nights, from 03-07/08th of May. So I know this is golden week so it's also more expensive and full. Is there an island / itinerary that I must see? I will be coming with a friend. I currently dont have a translation of my drivers ID and also would prefer if I didn't have to drive a rental car ( costs, but mainly left side driving, I am from Germany). So I would REALLY appreciate it if somebody could help me find a good mix between all this. I would say my budget is not too bad, but also not unlimited, so for 5 nights for 2 people I would say around 1000 Euros or so including food and so on.

by Aggressive_Ad_6546