I ran the r lspci command in a live usb on the same hardware, and got this. I assume it's not an issue as it's just about detected hardware? I'm habing trouble loading packages from usb.
As you can see at the end it seems like all the hardware is being detected. I presume the two Intel Gigabit lines refer to the HP card, I know it uses an intel chip. Theres the intel wifi card I've included at the end, which I assume means the realtek is the integrated ethernet controller.