Glad you enjoyed playing our game.
Teaching the player in the manner you described was indeed our intention.
Do you have any suggestion on how to take the game to the next level?
In my opinion it is very important for a horror-game to give the player a good atmosphere. More than features or skills. You really nailed it with your first rooms.
The thing is, you have some options now:
1. You let this game be as it is, make some performance or style changes when needed and take all you've learned to the next level in a new project. Don't take the "perfection" of a game too serious. -> I would be really glad to see more games made by your team!
2. You could think about a new level of atmosphere. That could be a new behavior or property for the "enemy". For now it is something that follows the player and tries to catch him. But what is, when this enemy/monster evolves to something that plays with the players mind? Maybe the room changes into something more grotesque and challenges the player in some unexpecting way. That could offer you new ways for puzzles. Just for example :)
3. You could doing both. :D
I hope my opinion and thoughts will help you a bit ^^.