Is Excel working properly now? If not what are the exact error messages Word & Excel produce when run normally?

Running Word in safe mode is a diagnostic tool; not an approach I'd recommend for normal use. Running Word in safe mode prevents add-ins and global templates (including the Normal template) from being loaded automatically.

The fact that Word runs correctly in safe mode indicates you have a problem with an add-in or a global template (probably Normal.dotm). If Excel isn't working properly, the most likely culprit is a 3rd-party add-in. You can find the Word & Excel Add-ins via File|Options|Add-ins in each application. Look for any not published by Microsoft.

The Normal.dotm template can be located via the procedures in Step 4 of the manual uninstallation steps for an MSI installation of Office 2013 in the link I posted. With Word closed, You could try renaming that file. A new one will be created next time Word starts.

__________________
Cheers,
Paul Edstein
[Fmr MS MVP - Word]