Sorry about the delay.
I also see there are 19 "Me Too" clicks.
iMessages is the service run by Apple that basically started with the iOS devices and was a beta for a time in Lion (OS X 10.7) which also was date limited and ended on the 14th December 2012.
It is no only available with the Messages app in Mountain Lion.
FaceTime is available for Snow Leopard (OS X 10.6) and can then FaceTime to those iOS devices.
Please, if posting Logs, do not post any Log info after the line "Binary Images for iChat"
iMac 2.5Ghz 5i 2011 (Mountain Lion 10.8.2)
G4/1GhzDual MDD (Leopard 10.5.8)
MacBookPro 2Gb (Snow Leopard 10.6.8)
Mac OS X (10.6.8),
Couple of iPhones and an iPad
"Limit the Logs to the Bits above Binary Images." No, Seriously