I replaces my .htaccess by yours. Now I can enter my site, but the buttons still don't work

To answer your questions:

what is your live URL in your config file, I would start to track the problem from there.
www.idee-en-kerk.be

Is your site installed in the root or a sub-directory
In the root

did you comment out the joomla core sef section and enable the 3rd party section
yes

do you have sef turned on your config
Search Engine Friendly URLs: yes
Dynamic Page Titles: yes

Can you make something out of it?

did you change yourdomain to your domain in the access file i gave you?

I would need a log in to see what is happening

I still think there is a setup issue unrelated to artio

Yes, I did. I can give you a login and the rights you need. Can you send me a mail by Contact on www.idee-en-kerk.be/index.php (because the site is still under construction). Then I will answer you with the login and how to login.