Well System Process is pretty weird process name as it is usually only listed as System so this might be something trying to masquerade as System, although the Process ID of 0 is also weird.
In task manager what has the process ID of 0 ?
There is no easy way to block emails being sent you would have to block the email port 25 in either a firewall or router. as this would appear to be using its own emailed. So you still haven't said what your firewall is ?
Try windows, Start, Run, type 'msconfig' without the quotes and click OK, now look at the Startup Tab and list what you see there.