This was maybe the right answer.
It is running 
One question more.
If i ran with 3.1.3 i got the error message, see attach.
How can I make sure I’m up to date so I don’t run into the problem with versions again?
In other words, I could also install a Linux system.
I have installed Debian on a trial basis without any problems.
What Linux would you suggest here?
Can I buy a coffee now 
Last question is that I still need a new site, with Jekyll.
Do you do something like that?
Well yes, the renamed _site
folder contains the old compiled website which you probably extracted from a tar.gz file that restored the permissions from the developer who created your project, that’s why ruby was complaining about unmatching owner and permissions.
About the next question, for me using rvm, as you do, is just fine and the best option, and plus it is not related to a specific Linux distribution, so you can install whatever you like.
I recommend it because I let my distribution (openSUSE Leap) decide which Ruby version to use for system purposes (it is an old 2.5 for the record), and with rvm, I can switch to the version I need for my projects.
That way I don’t have to care which version will be released with the next openSUSE upgrade and be worried if it is still compatible with Jekyll or the other related libraries.
I will just switch to the environment I previously configured and for sure I will get my blog compiled without any issues.
The second pro is that rvm saves the libraries under the home path and doesn’t mess up with the libraries installed by the system Ruby.
For any other solution involving a Linux distro, rvm is still the best approach to have a lifelong working environment.
For new site do you mean a new project? Or do you need to deploy this one?
Thank you for coming back.
i mean a new project.
This one is ok. as it is. I can now a comments routes and so on.
You are interested?
Yes, let me know the details via private message.