Thank you for help and explanation.
Well, I made changes back in configs and it started to logging again.
(Documentation is usually about one soft - is not saying about reliability , configure-ability , complexity , weaknesses and ... . I did not find any yet :-)). I had in mind to read some article from highly experienced user/admin where I can find comparison (init vs. init.d vs. systemd) (syslog vs.rsyslog vs. some another) of those software - benefits , weaknesses and so on.
I had many problems with rsyslog before (no logging many times) - it was difficult for me , linux newcomer, to solve it. I went through many documentations/forums and tried different configuration/s but from my point of view I just thought that I can use some more reliable software than rsyslog. That is just my bad experience with this important soft.
About systemd: I have just read https://wiki.ubuntu.com/systemd
and wanted to give it a try.
I am curious why are you saying that systemd is horror :-) ? Do you have some bad experience within configuration or running or something else ?
Thanks for info,