there is no folder full of pictures and random ... but
each page has associated an image is this possible ?

or can it be done ?

There is athread in the gold forum tutorials
HOWTO: Set different header images clickable (linked) to a different location

The gold forum is available to members who have donated $20 or more

and when I make a donation do you help me also with the breathcumps problem ?
to have beneath menu

BFA Home » WordPress Themes » Atahualpa 3 Wordpress theme » Header configuration & styling » each page has associated header image »

home image instead PFA Home text ?

and all updateproof ? not by editing index.php?

A $20 donation gives you access to the Gold forum with it's tutorials etc. but does not necessarily guarantee answers to all your questions. They are handled as time and knowledge dictates.