Not getting how to do this game, we're is the troll caves? Only thing on the map is the village?

Hmmm..., have you completed the exploration of the Fungus Grove yet? If you havent, thats what you might need to do first. The way the game works is you have to complete the explorations of & missions in certain places before you can move on to the next ones (e.g. Before I can move on to an area called the Sweet Blossom Orchard, I have to complete every activity in an area called the Forgotten Tomb.). If you have (or thats where the tutorial told you to go), then try checking in at the Barracks in Esiors Haven (the village you mentioned). That might activate the appearance of the Trollsblight Caverns (the troll caves you mentioned) on your map. If that doesnt work, try refreshing the page with the map on it.

Sorry I cant be more helpful. Its been awhile since I was at the level you currently are (Im at Level 62.).

I did not see a quest for fungus?

Fungus grove comes after Trollsblight caverns

If you're meant to be doing Trollsblight Cavern, your map of Viridian Meadows should look like this: