Hi Ken:
So if the mouse is fine, try creating a new InDesign document. Can you move things around in the new file? If so, that points to something being an issue in the InDesign file you are currently working on. You could try working through the troubleshooting steps.
But you called it "complex". Can you elaborate on that? What makes it complex? And if you would like to share a dropbox link publicly in a reply or privately by messaging me directly, I'm happy to take a look. I don't need the linked files or fonts. Just the page(s) that is (are) giving you trouble.
~Barb