If you click on the monster, there should be a little window with the monster's information that pops up, there's a little ? button, you can click on that and see what it drops, and what skills they use if any. There's not a page that you can search through drops, at least not yet, our Wiki is still being developed.
As for the map, just press M, and it should display where you are currently, but to see the region just right click on the map once, and it should show you the world map. And if you're in Wetlands and you want to find Magi Mushrooms, there's a drop box on the right side of the map that says Monster: click on that and find Magi Mushroom, and you can click the Auto-Route button right above that can auto walk you to the monster.