Sorry. I missed the Page limit Parameter. Thank you!
About the filter.
Now the filter only works with already visible items. Because I only have three visible items, this makes no sense in my case.
Is there a way to extend that to all set in the Global limit parameter?
Yes, you can choose to show all categories
Settings > Filter & Sortings > Categories type
but that will display all categories that are selected in the Data source, even those without items in the current page.