Wow! you are the first who has reported this issue. I found there was a missing prefix in options.
To fix the issue find qa-adverts-options.php in the q2am-simple-adverts directory at around line #50
qa_opt('advert_image_url', qa_post_text('q2am_advert_image_url'));
qa_opt('advert_destination_link', qa_post_text('q2am_advert_destination_link'));
Replace with below
qa_opt('q2am_advert_image_url', qa_post_text('q2am_advert_image_url'));
qa_opt('q2am_advert_destination_link', qa_post_text('q2am_advert_destination_link'));
The code was not with the prefix so was not storing anything into the database. Thanks to notifying me.