There are four directions to look at in the room. For clarity, I will refer to them by the most prominent feature when looking in each direction. They are the Window, Fireplace, Closet, and Door.

Window: Pick up the white glass shard on the right bookstand, middle shelf. Click on the desk's drawer (under the cactus) for a color clue. You can also click on the blue book (top shelf, to the left of the whiteboard), brown book (top shelf, right of the whiteboard), green book (below the vase in the middle of the screen), and red book (bottom right corner of the screen) for clues for a future puzzle. Put the red book clue to use now by clicking the vase until the three dots turn RED. From here, go left to Fireplace.

Fireplace: Click on the box in the lower left corner for a puzzle. You need to click the boxes in the right order to turn them all black - messing up will reset the puzzle. With the left square being 1, push them in this order: 31452. Take the glass shard from the now open box. Also, click the vase on the left (next to the clock) until it turns GREEN (it may be this color by default). Click the photo to the left of the vase you changed the color of to reveal an opening we'll use later. Head left to Closet.

Closet: Open the cabinet under the phone for a clue. Grab the mirror shard on the floor in the bottom left corner (it is leaning against the bookshelf). Change the vase's dots to BLUE in the top left corner. Head left to Door.

Door: Grab the skull on the shelf above the television, and the mirror shard by the two books at the bottom of the screen, just to the right of the blue door lock. Click the two books below the television to move them and reveal another clue. On the right side of the screen (below the portrait), change the vase's color to BROWN. This is the final one and you should hear a click and the colors on all the vases will no longer be able to be changed. Head left to wrap back around to Window.

Window: In the bottom left corner below the window, a slot should have opened up with the BLUE KEY. Just to the left of that, click the weight/pedestal to put the skull on it. Go left to Fireplace.

Fireplace: Click on the mirror to place all your shards into it. Go either left or right (doesn't matter which) then come back to reveal the GREEN KEY where the mirror is. Grab it, then go to Door.

Door: The safe above the television will be open. Grab the small item inside, then go to Fireplace.

Fireplace: Use the switch in the slot on the left side of the screen, to the left of the vase (click the picture if you haven't already to move it). After inserting the switch, click it again to move it down and you'll hear another click. Click on the safe in the bottom right corner and use the clues you've found to unlock it. If the colors can be arranged as:

1 2 3 4
5 6 7 8

The combination is 5182. Grab the small handle inside the safe, then go to Closet.

Closet: Click on the box in the middle of the left bookshelf to insert the handle and play the music box. When the music box is done, look around for a small red match. It seems to vary in location - it can be to the right of the fireplace, or on the desk at Window. Possibly other spots. Once you find the match, go back to Fireplace and set the logs on fire. Similar to the mirror, leave the screen and come back to find the RED KEY in the ashes.

Move to Door and grab the BROWN KEY that is visible in the cabinet on the right, under the vase.

That's all the keys. Click each lock on the door, then open it and escape!