With the standard openSUSE flavoured KDE desktop, I'm not familiar with the 'K' and blue background - I'm assuming this must be unique to your configuration.
- While terminating of loading KDE , before appearing the desktop, it takes more than 5 minutes before show the "K" with blue background that appear always when initializing KDE.
Your Xorg.0.log shows that two displays are detected, and EDID read in successfully
but it then sets the resolution incorrectly
[ 23.841] (II) intel(0): EDID for output eDP1
[ 23.841] (II) intel(0): Manufacturer: CHR Model: 608 Serial#: 880
[ 23.841] (II) intel(0): Year: 2011 Week: 21
[ 23.841] (II) intel(0): EDID Version: 1.4
[ 26.767] (II) intel(0): Output eDP1 connected
[ 26.767] (II) intel(0): Output VGA1 connected
Now, it is possible to override this 'automatic' configuration, and set the desired resolution manually, but you have more major issues going on with the desktop behaviour/performance. You might want to try disabling the 'Desktop Effects' via
[ 26.767] (II) intel(0): Using fuzzy aspect match for initial modes
[ 26.767] (II) intel(0): Output eDP1 using initial mode 1024x768
[ 26.767] (II) intel(0): Output VGA1 using initial mode 1024x768
System Settings >> Enable desktop effects at startup
However, that won't fix the resolution issue, and may not be enough to provide a usable desktop either. As this chipset is relatively new, it is likely that the intel graphics driver will continue to improve with respect to its support and performance with this chipset. Therefore, I suggest you may want to try testing with a recent 12.2 milestone release.