sportal hotstart installed

But the read more links in carousel cause page to go berserk rather than like on your online example?

We would need to see link for such problem

Please go here, click read more in carousel article
www.mudokwan.net/joomla/

This is a fresh install in attempt to correct the issue

?? that snapshot you have is from some phone, when I load it I see our regular hot start ??

Yes, the snapshot was from from a cell phone, but the result is the same from any computer.

Also, as I mentioned, you need to click read more in the carousel article to see the failure.

Here is the direct link. I thought you would want to see it happen.
www.mudokwan.net/joomla/index.php/25-dem...a-devastates-austria

When I browse main css files:

or

I get

That means that that files are not there but more probably that you set permissions not to allow reading for public.
Permissions ~ CHMOD. You need to set CHMOD of folders to 755 and files 644. You can do that form cpanel file manager or you can install extplorer for joomla they both support recursive CHMOD setting. And if you have only have option of using SSH command prompt form site folder execute:

find . -type d -exec chmod 755 {} \;
find . -type f -exec chmod 644 {} \;

If after that you have no luck but that is rare and it can happen if you manage your server by yourself then file/folder ownership can be problem and you would need to take it. Easiest thing is to do site copy using web account because copied files should belong to copier.