You can only navigate between areas when a glowing arrow appears at the top or bottom of the screen. Swipe downwards to move further forwards, and upwards to move back. Make sure the glowing arrow is visible before doing this.
Make a note of everything you come across in Year Walk, and don't feel compelled to solve a puzzle immediately.
Multiple clues and puzzles are blended together in the game, and you may be missing the vital link.
Stick around for the credits, as you'll be given information about how to uncover the complete ending of Year Walk.