In case you do changes via Header Builder but after publishing, they are not visible on your Home page, check next:
1/ Maybe a custom header is used, and you need to edit it too. Go to Theme Options > Header Builder > Multiple headers > edit custom header for the Front page.
2/ Try to disable Menu cache and static blocks cache via Theme Options > Speed Optimization.
3/ Clear the cache of your browser. If you are using a cache plugin or CDN, clear the cache there also.
4/ Check topics on our support forum, submit a new topic to get assistance from the support team.