Thanks for Your answer.
What I did tried today in sequence:
Installed new copy of KSP 1.11.2
Installed All DLC's
Installed latest mods (via CKAN):
Module Manger
Kopernicus (and FlightIntegrator)
JNSQ (and scatterer)
Manually deleted with JNSQ bundled Kronometer and downloaded newer one (link in OP)
Installed Real Date.
Start game (oh boy how fast that thing loaded I am used to loading for 5minutes), changed only resolution and UI scale settings. Everything else default.
New career savegame
No scene change, KSC, warp on max speed to 28th January and than few clicks "Warp to sunrise" until February.
And it is again 32nd February, not 1st
Maybe it is related to settings? Something has to be changed?
It is not a big deal if it works for others and not for me, I can live without it.
New player.log: https://www.dropbox.com/s/q2r8izj6a0lynl4/cleanInstall_Player.log?dl=0