So, as my username suggests I'm noob at this. I was running Ubuntu just fine on another laptop and this is the first major issue I have been unable to solve myself with a bit of googling.
I have tried the suggestions here which result in errors when rebooting:
I also tried GRUB_CMDLINE_LINUX_DEFAULT="i8042.nopnp=1 pci=nocrs quiet splash"
After a reinstall and editing /etc/default/grub once again, I am no longer receiving the error above, but the touchpad is still not working. Here are some images including what /etc/default/grub looks like, output from sudo grub-update and xinput:
https://i.stack.imgur.com/FEzi6.jpg
I cannot use screenshots as I don't have a mouse for this device and find it difficult to navigate using only the keyboard. Sorry.