Hi Rudi,
To change the monitor settings to left to right or right to left refer to the following steps:
a. Right click a blank area on the desktop.
b. Select the option Personalize and then Display settings.
c. In the Monitor window that opens you should see your two monitors.
d. Click and drag the right hand monitor left to the left of the original left monitor and release the drag and check if it helps.
To move apps from the Windows Store around your screen, press the Windows logo key +Left Arrow or Windows logo key +Right Arrow. To move the Windows Store app to a different monitor, press the Windows logo key +Shift+Left Arrow or Windows logo key +Shift +Right Arrow.
To move desktop apps to the left, center, and right on a screen and then to the next monitor, press Windows logo key +Right Arrow and Windows logo key +Shift+Left Arrow.
More information you may refer to the following article:
Do more with multiple monitors: http://windows.microsoft.com/en-IN/windows-8/multiple-monitors
Refer- Set up what’s on the screen: http://windows.microsoft.com/en-IN/windows-8/how-connect-multiple-monitors
Keyboard shortcuts: http://windows.microsoft.com/en-in/windows-8/keyboard-shortcuts
Keep us posted on the status of the issue.