@SheaFitzpatrick
As you've already figured out, it's not going to boot with a corrupted BIOS and if the standard restore process does not work, you are stuck.
Your best bet, since you probably did not back off any of your school files, is to read the information below about creating a boot USB stick you can use to boot the PC and then connect another USB stick to it to retrieve the files you need:
1) On a working PC, use this link to download and install a free copy of Macrium Reflect: http://www.macrium.com/reflectfree.aspx
2) Once that is installed, use the option to create a Boot USB stick (Other Tasks --> Create Rescue Media). This creates a bootable USB stick that runs a version of Windows.
3) Boot the PC from that USB stick. To do this, try pressing F9 repeatedly while booting to get a boot drive menu, or press the Esc key repeatedly while booting to get an HP utilities menu, and select the boot menu from that
4) Be patient ... as booting from a USB stick is really, really slow
5) Once in the MR recovery environment, you can then remove the USB stick.
6) Insert a USB stick for holding data and, down at the bottom left of the windows screen are some icons. Select the one on the right to open a form of File Explorer.
7) Use the File Explorer app to locate the files you need and copy them to the USB stick.
Good Luck
I am a volunteer and I do not work for, nor represent, HP