Unable to Publish DRAFT Home Page

Examine what the actual status is as saved in the database. Use the phpMyAdmin app to examine DB data. It helps to know the page’s ID. This can be discerned from within the URL of the page’s edit screen. Find the page’s record in the wp_posts table. Examine the “post_status” field. If it is “draft”, you could directly edit the record to make it “publish”. (always use all lower case here)

If the field is already “publish” and yet the WP admin shows draft, there’s likely a theme or plugin conflict, or admin pages are inappropriately cached, showing you stale content. The latter is unlikely, but is resolved by flushing any caching that’s active. To narrow down theme or plugin conflict, deactivate all plugins and switch to a default twenty* theme. The status should now reflect what you saw in the DB. Restore your normal theme and plugins, one at at time. When the problem recurs, the last activated was the culprit.

This is beyond my capabilities. Can I hire you to fix the issue?

Sorry, no. While I appreciate your willingness to pay, soliciting paid help in these forums is not allowed. There are other sites for this purpose, such as https://jobs.wordpress.net/ or https://jetpack.pro/. I recommend ignoring any unsolicited offers of paid help that result from this topic. People who do that do not have your best interests at heart.