Located just behind Fare Maheata pension, probably the best hike of Moorea. To reach the summit you need to be intermediate level (6-8 hours round-trip) but you can stop anytime during the hike. Most of the hike is relatively gentle but it is a long one, with last part walking on a narrow edge. Beautiful view all the way !
You probably realized by now that coming to French Polynesia is really not cheap. But since you come from a long way, it would be a shame to not enjoy your time to visit another island. For very different view and top class diving: Tuamotu archipelago is recommended (ie. Rangiroa, Fakarava, Tikehau) For luxurious and beautiful beaches: Bora-Bora is a no brainer
One of the famous things to buy: Tahitian black pearl. You can find it in numerous shops in Moorea and hotels. Most of them are located in Maharepa district.