Could this problem be linked to a hosting setting (php version or something like that)?
It’s very unlikely. But if your host caches page, make sure you clear it. 🙂
Can you tell what version of WPSP and WPSP Pro are you using?
Also, can you show us the setting for the WPSP lists used on the page? It looks like your carousel’s “post to scroll” value setting is equal to your post lists “post per page” value.