@BKA - @mariosv 's answer is correct. However is seems you missed to read the part how you can use several page styles.
Between each style you need to insert a page break with style change.
Insert > Manual break > Page break > Style and here you need to select the style you want to use next.
I too recommend to read the Writer Guide. It will save you a lot of time.
Concerning the “buggy program” just a few words. There is NO computer program without any bug. Also in LibO there are bugs. The developers - all voluntary work - do there best to correct bugs. However, very often people complain about bugs and the real bug is that they do not sufficiently understand the program. Therefore reading the Guide…
EDIT after comment:
You do it the same way. You create a new or modify an existing page style with the headers you need for each style.
For no display of headers above chapter titles you could create a style “Chapter Start Page” and have no header for this page. If you set in this style under Organizer tab, the Next Style to “Chapter Pages” you need only a page break with style change at the beginning of new chapter.
EDIT after 2nd comment:
No it will not. You need/can to set continue or start new. Please also look into the Guide.