Well, among the first lines of your log there's this:
/opt/kf5/bin/startkde: line 152: kapplymousetheme: command not found
This can either mean that your plasma installation is incomplete or $KF5_PREFIX/bin (in this case /opt/kf5/bin) is not in your PATH.
Further below, I found:
27: module "org.kde.kquickcontrolsaddons" is not installed
This could mean incorrect "kdeclarative" installation, wrong QML_IMPORT_PATH or QML2_IMPORT_PATH or simply wrong cmake commands used when installing kdeclarative, and as such QML components have ended in wrong place.
klauncher said: Could not find the 'kf5/kio/trash' plugin.
This could mean similar to the above. But, this time something may be wrong with either kio or kio-extras install. You can use find . -name "*kio_trash*" in /opt/kf5 to see if it's installed in a place that's not in QT_PLUGIN_PATH
kscreen: Launcher failed to load any backend: KScreen will be useless
Similar to the problem above. libkscreen is the package you should look for. Also, search for KSC_XRandR11.so or KSC_XRandR.so. Should be in QT_PLUGIN_PATH.
See also:
http://anduin.linuxfromscratch.org/~...iles/kde5.html