If you are sending the sheet to PDF it will only show the objects on the sheet. It does not show the bar across the top that displays the filters.
There is an extension at Qlik Branch that allows you to add an object to your sheet that displays the choices that have been made with the filters. With that then you will see the filters in the pdf document.
I don't know the answer to your second question about 'fit to page'.
Thanks for the answer. I will search for the extensions then.
Regarding the fitting, if I export it to PDF, then I have two options: fit to page or keep current size. If I choose fit to page or keep current size, actually it doesn't matter, 1/3 of page is empty - so all the information is above the page, bottom part is empty.