Processes in Microsoft 365 for setting up Office apps, redeeming product keys, and activating licenses.
The problem was that my clock on the computer was not set to the correct date (it is not syncing with Internet time, and was stuck on 6/21/2013). This caused several other programs to not be able to connect with the Internet, including Office 365. When I set the clock to today's date, it synced up just fine. Hopefully someone else with this problem reads this, before a Microsoft service tech sends them off on a wild goose chase.