Sounds like the mirror is not moving up, which is the click sound you are talking about. You can take the lens off, turn the camera on and watch the mirror go up when you put it into live view. You might check it to see, so you can describe to the tech what is happening. Also, if the monitor is only working with the screen in a certain position, then something else is going on as well. Will the menu work if the screen is in the position where the settings show? If so, then there is something wrong with the display. Just giving you things to check so you can be better informed to describe the problems you are having.
Is the camera under warranty or can it be returned?