Please give us more information.
What computer operating system is your Premiere Elements 11 running on? When you view and listen to the playback of the Timeline video in the Edit area monitor, are you working with the rendered or unrendered Timeline?
What is the model/settings of the Fuji camera that recording the video? The settings seem to be for 1080 but is that 1080i or 1080p?
Are you saying that your video has a .mov file extension? What is the significance of MPEG video - I am thinking in terms of video compression? AVCHD, H.264, MotionJPEG, or other for video compression?
What are you or the project setting as the project preset to match the properties of the source video?
(See Edit Menu/Project Settings/General and the readings for Editing Mode, Timebase, Frame Size, and Pixel Aspect Ratio (even if they look grayed out.)
Do you have the latest version of QuickTime installed on your computer? If you go into Publish+Share/Computer/QuickTime, do you see all the QuickTime presets? Please explore Edit Menu/Preferences/Audio Hardware ASIO settings Input as well as Output.
We will be watching for your progress.