The save is intended mainly for people who are used to overwriting RPG Maker save files as they were to reuse save files of the previous demo to skip the first boss. (however, using those old save files will cause problems in the game 😅)
The map screen shows locations of interest in the current zone. The new outfit is rather hard to miss as it's fully hinted at (red exclamation mark, and after the quest a treasure chest icon will be at the location).