Choosing "Delete" on a failed resume from hibernation normally should not cause any problems. It's a typical way to recover from a failed resume.
From what I've read in other posts from users experiencing STOP 0x1000007e BSOD's, it can result from bad memory or a faulty driver. In your case, the 1st parameter indicates a memory access violation occurred. Since you still get this BSOD after an ASUS Factory Restore, I'd suspect bad memory and recommend running memtest86+ to see if you get any memory errors.
However, you CAN boot successfully into Safe Mode, which may indicate a 3rd party driver is responsible for the BSOD. The Sentelic touchpad driver, fspad_win764.sys, is listed in your BlueScreenView screenshot. Still. the shipped version of this driver (or even the more recent versions) should not be causing any problems. Did you install
anything after performing the ASUS Factory Restore? If so, what was it?
You could eliminate fspad_win764.sys by uninstalling the "Finger Sensing Pad" from "Control Panel - Uninstall a program" and REBOOT to install the Windows 7 Plug-N-Play touchpad driver. Problems with the Sentelic touchpad on G74SX and G73 systems are well known, but I've not read of BSOD issues, just erratic cursor movement being the problem.
Which ASUS laptop model do you own?
G74SX-A1 - stock hardware - BIOS 202 - 2nd Monitor VISIO VF551XVT