Hi:
Unfortunately, I won't be able to help you with the first issue.
For the fingerprint sensor to work you need to manually install this driver as follows...
4.4.234.0
https://ftp.hp.com/pub/softpaq/sp58501-59000/sp58900.exe
Run the above driver. It will most likely not install the fingerprint sensor which should be listed in the device manager as an unknown device having the hardware ID of USB\VID_138A&PID_003C if it is missing the driver.
Go to the device manager, click on the unknown device with that ID needing the driver.
Click on the driver tab. Click on Update Driver. Select the Browse my computer for drivers, and browse to the driver folder that was created when you ran the file.
That folder will be located in C:\SWSetup\sp58900.
Make sure the Include subfolders box is checked and the driver should install.
Then restart the PC.
To enroll your fingerprint so you can log into Windows with it, you need to download and install the W10 HP Client security software and restart the PC.
HP Client Security Manager provides enhanced Windows login and website single-sign-on capabilities. Security Manager is also the host for HP Client Security plugins, and therefore should be installed before other Client Security modules. This package is provided for supported models running a supported operating system.
https://ftp.hp.com/pub/softpaq/sp74001-74500/sp74101.exe
If you don't know how to find the hardware ID for a device, use this guide below for how to find that information.
How to Find Drivers for Unknown Devices in the Device Manager (howtogeek.com)