[hannes69]

Thanks for the suggestion. I appreciate the help. But actually, the video files play correctly regardless of what resolution is selected. As I understand it, the GUI resolution setting in Kodi doesn't control playback, and only controls the resolution of the Kodi interface, and Kodi then switched to the correct video playback resolution. The problem is that when the file stops playing, there is some problem switching back to the GUI resolution. 

You can take the corresponding settings from guisettings.xml and transfer it to advancedsettings.xml.
The GUI settings are stored in guisettings.xml, you can read the settings there.
These settings used in advancedsettings.xml lead to an override of the GUI settings (some of the corresponding GUI setting elements within the GUI disappear when used in advancedsettings.xml).

In your given problem you´ll need something like

<videoscreen>
<screenmode>00384002160060.00000pstd</screenmode>
</videoscreen>

in the advancedsettings.xml file (here resolution 3840x2160@60Hz)