You indicated you got details of bugcheck 0xfe - BUGCODE_USB_DRIVER - "This indicates that an error has occurred in a Universal Serial Bus (USB) driver".
The specific violation type you reported does not appear to be documented.
HP is refusing to help, despite the new system? Did you add or remove any hardware or software to the system after you got it?
Can you upload the contents of c:\windows\minidump to your SkyDrive, and provide a link?
For dealing with Blue Screens, general guidance follows:
Consider running chkdsk on all partitions. Let chkdsk complete on each partition and see if that helps.
Also consider running SFC /SCANNOW.
Other common suggestions include ensuring drivers are up to date (including video drivers), as well as ensuring that you're using the latest BIOS.
Consider testing memory with Windows Memory Diagnostic or memtest86. Note that memory that passes tests is not necessarily good memory - it just hasn't failed a test. Consider systematically eliminating RAM from the system - run with a couple of modules for a while, and see how things go. Then try the other modules.
If you boot into safe mode, do you still experience bugchecks? What about if you do a clean boot, or device clean boot?
It can be helpful to use Driver Verifier. To enable Driver Verifier... start->verifier.exe->OK->Create standard settings- >Next->select driver names from a list->Next->sort by Provider->select all non-Microsoft drivers->Finish, and OK your way out of the dialog.
Then, reboot and use the system as you normally would, and wait for a problem. In the event that the system does not boot completely after enabling driver verifier, boot into Safe Mode and run driver verifier, and tell it to delete the changes.
Wait for a bugcheck to occur after enabling verifier as described, and then upload it to your SkyDrive, and provide a link.