Didn't mean to create such a mess.
If you're referring to the nastiness that keeps getting removed by the moderators, not to worry, none of that is your doing.
But here I am... still here.. just had another crash.
After the clean installation.
Well, there's a problem... Either the installation wasn't actually clean (meaning erasing the hard drive and reinstalling from scratch), or you used Setup Assistant or Migration Assistant to move too much from the backups to the new system, dirtying it in the process. I say this because your kernel panic log still contains the following:
com.parallels.kext.prl_vnic 7.0 15104.778994
com.parallels.kext.prl_netbridge 7.0 15104.778994
com.parallels.kext.prl_hid_hook 7.0 15104.778994
com.parallels.kext.prl_hypervisor 7.0 15104.778994
com.parallels.kext.prl_usb_connect 7.0 15104.778994
So that means that all the Parallels and VirtualBox kernel extensions are still installed.
Sorry to be the bearer of bad news! But is the system working well enough now that you could run the VirtualBox and Parallels uninstallers?
I just went to the VirtualBox site, and I see that the version you're using is more than 2 years old! That may very well be the culprit. I downloaded version 3.1.6 for myself from the following link:
Inside that disk image is a file called VirtualBox_Uninstall.tool. You would need to open that script, which will run it in the Terminal, to uninstall VirtualBox. Note that it will complain about the app being made by an unregistered developer... you will need to go to System Preferences -> Security & Privacy -> General and temporarily toggle the application control from the default "Mac App Store and identified developers" to "Anywhere." After uninstalling, switch that setting back to where it was.