Hi Jordan,
Let me assist you with the issue.
You may refer to the steps from the following link and check if you can launch the Office applications.
http://office.microsoft.com/en-us/support/why-cant-i-start-my-office-2013-application-HA104011864.aspx
If the issue persists, and as you have already repaired and re-installed Office suite, I would like to know the steps that was followed to perform these action.
If you have not performed a manual removal of Office 365 installation files, then you may refer the link from the following article.
http://support.microsoft.com/kb/2739501
IMPORTANT: Ensure to back up complete registry following steps mentioned in the article below as manual uninstallation involves in deleting the registry
entries.
http://support.microsoft.com/kb/322756/en-us
Now download and install Office 365 by logging into
www.office.com/myaccount with the registered email address and click Install Office.
Hope the suggestions provided are helpful. Let us know if you need further assistance.
Thank you.