No issues anymore.
Maybe something with my provider (DNS or so)? I´m no expert.
I also had added this to my .htaccess file:
## EXPIRES CACHING ##
<IfModule mod_expires.c>
ExpiresActive On
ExpiresByType image/jpg "access 1 year"
ExpiresByType image/jpeg "access 1 year"
ExpiresByType image/gif "access 1 year"
ExpiresByType image/png "access 1 year"
ExpiresByType text/css "access 1 month"
ExpiresByType application/pdf "access 1 year"
ExpiresByType text/x-javascript "access 3 month"
ExpiresByType application/x-shockwave-flash "access 3 month"
ExpiresByType image/x-icon "access 1 year"
ExpiresDefault "access 10 days"
</IfModule>
## EXPIRES CACHING ##
and turned ETags off. Which was both a advice from
this website.
Might that cause this type of issues?