weekly changing homepage

I think you will need to write custom code for this task. There’s usually more than one way to skin a cat, but my first thought would be to store all of the page id’s in an array with their keys set to the corresponding week numbers. Then use a weekly cron job, either proper or the WordPress version, to get the current week number (https://stackoverflow.com/questions/9567673/get-week-number-in-the-year-from-a-date-php), then get the array value, and then update the “page_on_front” option in the database (https://developer.ww.wp.xz.cn/reference/functions/update_option/)…