Thank you for your post. KB4338816 is a Quality Preview update that was released post Patch Tuesday and supersedes and replaces KB4338830. Based on the link you've posted, this is the update Microsoft is recommending that you install.
As for KB4345425, are you not seeing this update in your scan results at all? If not, we would recommend you try installing the update manually to see if it applies or not. If it doesn't install, then that would explain why we wouldn't see that in your results.
As for general advice with these patches and any times we see major issues like we have this month with Windows updates, take snapshots or backups of your machines prior to deploying the patches to have that fallback in case something goes wrong.