Hello Heather,
I hate to be the bearer of bad news, but I think you might need to uninstall/re-install arcGIS. Part of the software suite is the python install located here: C:\Python27\ArgGIS10.2. In the future I would try to keep that install of python and not have any others.
You can confirm that your arcGIS python is missing by trying the following. Click Start > All Programs > ArcGIS > Python 2.7 > IDLE (Python GUI). If that opens, try import arcpy. If anything fails along the way (I suspect it will), you've probably lost your arcGIS copy of python.
I could only think of one last desperation move, but I'm not sure if it would work. If you have a friend/colleague with the same version of arcmap, you could try copying their directory (C:\Python27\ArgGIS10.2) into yours.
Good luck either way!
~Josh