First, see Replace Your Preferences and do it for the original account.
If that fails to solve the problem, rename the two Adobe folders that contain the prefs in the user profile for that account and copy the folders from the new account where it works. You want to be sure you copy the folders, rather than merge the contents, so you must rename the old folders first.
Did Peter's suggestion of replacing the preferences work? I just got the same 'Adobe InDesign CC 2014 has stopped working' error message. Would like to know if this works before I call tech support at work.
This just happened to me today. It started when I restarted my computer because photoshop was stuck updating even though it was in the "finishing" stage so I could not cancel the update or uninstall photoshop. Restarting worked fix that, but since then is when I started noticing InDesign crashed on launch.I run on Windows 8.1 and have a Intel(R) Core(TM) i7-3635QM CPU @ 2.40GHz
Did you replace the prefs?
I suspect that won't work, but try it first because it's easy and you never know. More likely I think is that your restart during the update damaged some common file and you'll have to uninstall and reinstall.