How did you install InDesign? It appears you are running it from the Desktop (??):
Path: /Users/USER/Desktop/*/Adobe InDesign CS5.app/Contents/MacOS/Adobe InDesign CS5
The crash seems to have something to do with fonts, and maybe even SING (it implicates SING's near-cousin TIN), but I would tend to suspect a reinstall is in order, and perhaps more, given the above.
Indesign was transferred from my older mac which is still running it fine. Sorry, I had a copy on the desktop from a previous re-install attempt. here is the report from the one in my applications folder if that helps. http://pastebin.com/iFU8fzwT I no longer have the discs for a re-install. Any suggestions to deal with possible font issue? Or SING or TIN (I have no idea what that means).
Indesign was transferred from my older mac which is still running it fine.
That's your problem, you can't do that.
You can download the installer (the same as the trial installer) from http://prodesigntools.com/all-adobe-cs5-direct-download-links.html. Make sure to read the Very Important Instructinos section, do not skip to the links.
You will need your serial number, of course.