When I choose in taskbar propoerties to show the taskbar on all screens I get this.

So the taskbar at the bottom of my second screen shouldn't be there at all!

Whenever I attach a second screen, the taskbar there show all open windows across all desktops, not only those on this desktop.

Whenever I plug a second screen in/out chrome opens on the desktop I have opened (even though chrome was on another desktop).

Also, whenever I change the second screen setting (Extend, duplicate, ...) chrome again opens on the desktop I'm watching, even though it was openened on another one.