Hi @Faye2021
I apologize for any inconvenience caused.
Regarding first issue, I've just tested it on my local site and it works for me. So we will need to investigate it.
Please, can you open a private ticket and provide us with your website credentials in order to take a look?
This is the link to open the private ticket: https://stockmanagementlabs.ticksy.com/tickets/
Regarding second issue, you can always publish the product as private. In this way you will be able to see it in Stock Central but the user won't be able to buy it.
Hope this helps,
Best Regards,
Andrea.