From the start, jump left to get the Awakening #2 puzzle piece. You can check out the Item Shop and the Synthesis Shop. Turning in some items here will get you an Elixir . You can spot another puzzle piece above the shop but you can't reach it quite yet. Head down the steps into the Borough where Dusks will attack. After you defeat them you'll get the Marketplace Map. Start by jumping up the ledge to the southwest to snag an AP Boost (2/5) from the chest.
Continue along the upper level to a chest with a Drive Recovery (1/5). From here you can spot another chest on this level for a Mythril Shard (4/5) and across from it Awakening #3 . There's another piece you can spot but can't quite reach yet. Jump down and open two more chests -- a Dark Shard (5/5) and a Hi-Potion (3/5). Head to Merlin's House to trigger a scene; you'll receive a Membership Card and receive the Blizzard element. Before you leave, jump off Merlin's bed and swing to grab Awakening #1 . If you didn't notice, you'll be fighting Samurai now.
Monster - Samurai
Samurai are very patient and often wait to counter Sora with a flurry of swipes. The Reaction Command Duel Stance has a stare down between Sora and the Samurai. The command list goes blank then "The End" appears. Choosing it defeats the Samurai in a single hit.
To the Bailey
Head up the stairs and into the Bailey for a scene. Organization XIII members summon Nobodies that try to break down the door; your objective is to fight them off and protect it. This task could be a little tough but just remember to use Duel Stance on the Samurai so you can beat them in a single hit. Don't be afraid to spam Blizzard to push the Dusks and Creepers back. After the battle you'll start a scene that results in learning Fire and acquiring Secret Ansem's Report 7.
Before leaving you can head back to the Bailey to get Two Sides #7. You can also level up Valor Form a bit by fighting in the Borough and returning to the Save Point then heading to the World Map before the Drive Gauge depletes. This will let you go back and have a full Drive Gauge again. Convenient. If you get to Level 3 Valor Form, you'll learn High Jump Lv 2 which should let you get the Heart #6 puzzle piece. Head through the Asteroid Sweep to reach the Land of Dragons.