The SP-Studio needs the browser plugin “Adobe Flash Player”. This was a standard once, but today most browsers do not support it anymore like they did in the past. This is why the SP-Studio won’t work on most mobile devices.
If the whole game does not work there are two suggestions I can make: Try to install the newest Flash plugin and check your browser’s internet options. Maybe they block the website. Most of the time security settings or an ad-blocker is the reasons if the SP-Studio does not show up. Deactivate those settings for sp-studio.de to make it work.
If only certain parts of the game or website look strange or updates are missing you should clear your browser cache (= temporary internet files). You can do this in your browser settings. Sometimes after an update you have to force the browser to load the new files if it does not find them on its own.