Pasuing the DVD player for long periods of time will not harm your player or DVD. Now, there may be problems with your display. If you have the screen saver disabled and then pause the playback for long periods then yes you may cause some burn in. What you may experience is some localized heating on the disk due the laser tracking the same spot over and over but these lasers are pretty low power. Do you have a owner's manual for the DVD drive? See if there is any thing in it regarding leaving the player paused for any lenght of time.
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