Time on Frog Island

Glitched.

This trophy is affected by the game-breaking bug mentioned in the Roadmap.

Starting on Day 2, you'll be able to start getting quests from the townsfolk in town. When you first go to town, you should see the Blacksmith and Shopkeeper running around town, both looking for the Blacksmith's doggo. If they are not in town, you won't be able to get the Wheel. Mostly, if the Blacksmith is at his house and the Shopkeeper is stuck standing next to the green fuzzy guy just North of town, the game has bugged out. You'll need to start a new game to get the Rudder and the Wheel, preventing you from being able to complete every quest. Additionally, if you remove the bell from the belltower before giving the Mayor his cold drink (see below), you won't be able to afterward, preventing you from completing his questline.

All of the quests need to be done on one save, so if for any reason you start a new game, you'll need to complete them all over again. Most of the quests are associated with other trophies with only a few being unrelated to anything else. The quests broken down by townsfolk are as follows: 

Painter

• Bottle with Orange Liquid (story related)
• Blue Worm (story related, Hoist the Sails )
• Give the love letter to the Guard (part of the Fisherman's / Guard's quests)

Blacksmith

• Find his Doggo (story related)
• After reattaching all other boat pieces, retrieve the Ore from the cave (story related, Replace the Rudder )

Shopkeeper

• Find the Blacksmith's Doggo (Story Related)
• Retrieve the Lantern from the green fuzzy guy (Story Related, Hands on the Helm )

Mayor (must be done before Green Fuzzy Guy's quests)

• Brew and give him a cold drink (not story related, see Mad Scientist  for the Tavern recipes)

Green Fuzzy Guy

• Break the town bell (Story Related)
• Brew and give him a cold drink  (Story Related, Hands on the Helm )

Fisherman

• Retrieve a Feather (Story Related, Secure the Sheets )

Farmer (+ the Diva)

• Find all 3 Scarecrow Heads and place them on the Scarecrows
• One is found on the scarecrow inside the fenced area the Guard is blocking (there area with the fellow in the Hammock)
  
• One is given to you by the Diva in town after exchanging a Diamond with her (the Diamonds are found by breaking shiny/glimmering black rocks - one randomly appears on top of the Northern Mountain on the Main Island, but 2-3 can be found at a time on the Western Mountain on the Western Island)
  
• One is found in a Souther inlet on the Eastern Island (where you also found the Blacksmith's doggo)
  

Lumberjack

• Find and return his Saw (it's located in the forest just North of the Fisherman's house)
• Wait two days, then find and return his Hammer (there are two locations for this: there's one hammer in the cauldron at the top of the Northern Island, and there's also one on the pier of the East-most campsite, just South of the Lumberjack's house)
• Wait three days, then give him 1 Gold each day for the next 3 days so he builds your house

Guard (you need to speak with the Fisherman first)

• Bring the love letter to the Painter (Story Related)
• Bring the Painter's love letter to the Guard (Story Related)

Fellow in the Hammock (you need to finish the Guard's quests before you can speak with him)

• Bring him a blue droopy flower (Story Related - found on the Eastern Island, the Sunflowers become the droopy flowers when it's raining)

Tavern Master

• Complete all the recipes he gives you (these are all required for Just Here for the Food )

Cartographer

• Speak with the Cartographer in each location (this is required for Froggy Friendship , see that trophy for all of the locations)