What I found doing some google searches is that EEventManager may have something to do with epson printer software. Do you have any epson stuff installed? Is there some reference to EEventManager in you log in items? If so it sounds like some of that stuff may be wanting to "call home" or at least want an internet connection.
I do believe that EEventManager is not part of OS X so it must be some 3rd party software you installed. If it isn't epson stuff then something else.
EEventManager is part of the Epson scanner software. If you have an Epson AIO device, it would have come with the software for the device and therefore could be considered to be part of Epson printer software. I believe the purpose of EEventManager is to listen for signals coming from the scanner that tell it to launch the scanner software.