I have a lenovo thinkpad and the F8 key has a picture of the Touchpad - in the bios/setup are various startup options one of which is to require or not the Fn key when pressing the F# keys - another is to enable or disable the touchpad on start.
You may want to look in Device Manager and after attaching a mouse temporarily, try updating the touchpad, or uninstall/reinstalling the touchpad in control panel / programs & features.