Hello alenjohnthomas,
There is no delete code since we’ve never implemented that feature. It’s not something we want to do.
The tags and categories should be synchronized when you Push the Content. If that’s not happening, then I’d like to ask that you submit a support ticket at https://serverpress.com/contact/ so that we can look into the problem.
If you need to assign a different user as the Author of the Content, we have a WPSiteSync for Authors add-on which does this for you. You can find out more about that here: https://wpsitesync.com/downloads/wpsitesync-for-authors/
All the Best,
The ServerPress Team