If possible, try installing the laptop's drive in another computer as a slave drive. You'll need to purchase a 2.5"->3.5" adapter for the cabling, but unless the drive is severely damaged, you have a good chance of at least being able to pull your valuable data off of it.
DMR
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PXE has to do with your LAN. I would disable this option in the bios.
But please note that this will have no effect on the problem itself; it will just keep the computer from trying to use the network as a boot option. The reason the computer attempted the network boot in the first place is because it failed to find bootable media using the other methods in the BIOS' boot device options list. Booting from a network device, by default, usually the last option attempted; you only get to that point if all other methods (floppy, CD, add-in controller card, etc.) fail.
DMR
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