???? From what you are showing here you have a "manually installed driver"??? But did you try checking the third line, the one that has "nouveau" in it? Actually you could probably check any of those "Nvidia" options and click "apply changes" and you should be "OK"??
If you want to know what video driver is in use, did you try to run "lsmod" in the console?? It should list the "modules" that are in use for drivers, and under or next to "video" it should have something listed?? I'm forgetting what the default video driver is for linux, but even that driver should be working???
I might be "figuring out" what you are saying now . . . you can't click on any of those options, even if you do click, nothing changes?? OK, another GUI way to go is to go to synaptic package manager, and see if you can find any of those drivers there, and use synaptic to try to install it.
Or, back in the console you should be able to run "sudo apt install nouveau" and see if that goes through. I think it's a little more complicated to add "nvidia" . . . but if you wanted nvidia you could try "sudo apt install nvidia-driver-390" . . . (which is what is showing up in the add'l drivers) and see if it shows a bunch of packages to install . . . .
Try some of that stuff and see what shows up . . . it seems like if you are able to show a screenshot of the Software & Updates page you do have "video" driver . . . ???? Have you run through "sudo apt update && sudo apt dist-upgrade" a few times?? Often times after an install if you run through an apt update/upgrade a few times the system "figures out what you want and installs it" . . . . Linux kind of has a "6th sense" about itself . . . be patient with it . . . don't worry, etc.