This is the second post you've made that seems to indicate a bad install, Sonar.
I'd uninstall the program and try reinstalling it. And make sure you're using the right installation disc!
Do you know, if I reinstall Adobe Premiere Elements, will I lose all of the images and videos that are in my organizer, or is there some way to export them, and then import them again after I reinstall?
Reinstalling with not affect any media or projects-in-progress you've got on your computer.
Catalog is saved and reinstallation should not delete the catalog that is used for PrE or Organizer.
I have a vague idea about dynamiclinkmanager that it handles the interface between CS products. Why is it used in Elements? I do not know. Maybe for some interfacing between their Premiere Elements and Organizer and Photoshop Elements. Just a guess.
So when reinstalling, try to remove all other Adobe products (other than of course Acrobat or Flash etc that you are sure are not interfering) and then reinstall Premiere Elements alone. See if it solves your problem.