Innocent Life: A Futuristic Harvest Moon (Special Edition)

Well you won't be able to find the memory sprite until late winter. Make sure you watch Cooking Life and level up your watering can so you can use the Monsoon can by winter.
The memory sprite will appear when walking back to the house with the Doctor. There are two ways to get the Doc to come to the party at the mayors, you must ship Pointsettas (which is why you need the monsoon can to use the special water to unfreeze the land), and/or help the mayor's wife bake the cake.
I usually do both.
The Ribbon is a gift you can give to the girls, check the faqs to see who all you can give it too.
The Forest Crest... I believe you bring that with you to the forest after you see the memory sprite.