HI @MikeSchonlau, what you can do is to just copy the following from the working system to the new system,
"your_install_dir"\arcgisserver\config-store\services\hosted
"your_install_dir"\arcgisserver\directories\arcgiscache\hosted
"your_install_dir"\arcgisserver\directories\arcgisoutput\hosted
"your_install_dir"\arcgisserver\directories\arcgissystem\arcgisinput\Hosted
That will fix the server services, since it is a restore from a backup we don't have to be concerned about itemid's etc.
I am also of the opinion that your portal did not restore correctly, those unknowns looks like missing database entries in portal, e.g. they are not reflecting in portal/sharing/rest, I would just export and import portal again after fixing the hosted feature services.
Regards
Henry