I don't get much from the Eventlog errors you report.
The Windows Font Cache Service may just be a victim of the lockup. The Computer Browser and Server Services are not critical for a standalone laptop unless you want to share resources. It looks like your Chrome Browser may have encountered some problems. I suspect Chrome is also the source of the SChannel EventID 36888 errors you report prior to the Eventlog EventID 6008. Secure communication between your system and a web server has failed. Yet this should not necessarily result in a system lockup.
A lockup is difficult to troubleshoot because you often don't get a lot of useful diagnostic information. I believe you can configure Windows 7 to allow a keystroke combination to force a Memory Dump from a hung system. Analysis of the Memory Dump may provide information to resolve the issue.
However, it may be simpler to run a Registry Cleaner or do a System Recovery from the ASUS Partition (or Recovery DVD's) or a clean install of Windows 7 to try to resolve your issue. If the clean install fails, an RMA of the system would be your next choice. It's a shame the simple System Restore failed in your case.
G74SX-A1 - stock hardware - BIOS 202 - 2nd Monitor VISIO VF551XVT