The service manual doesn't tell you how to open the laptop in great detail, just says remove the bezel and these screws. That's it.
It's easier than you think. The button bezel is usually is attached to the hinge covers, pop those free from the backside first. Lay the LCD flat aka all the way open. Start on the right side of the bezel and gently pry it off. Pry up the bottom edge from right to left, there are tabs that hold it on. You'll probably have to do some back and forth wiggling to get it off all the way. There are screws holding down the hinges to the body. When you go to remove the LCD the wireless antenna wires will probably be still attached. You'll probably have to lift the keyboard (a couple screws) and open one of the panels on the bottom to remove the wires from the wireless card (pull straight up). Then there'll be a hole that you can pull the wires up through from the top and out from under some tape. Shouldn't be difficult. JUST BE CAREFUL when prying the button bezel.
Also, inspect the hinge, it might not be broken, could be just the screws on the inside of the LCD panel came loose. Take the screws out from behind the plastic/rubber covers at the bottom of the LCD and carefully pop the two halves apart starting at the hinge area just enough to see the internal screws.