Server Version#: Version 1.28.2.6151
Player Version#:
I seem to be missing the Plex Movie agent. Attaching a screen shot of my server and another screen shot of what it should look like.

The current generation of Plex agents are configured per library, not in the server settings. What you posted are the settings for the legacy agents.
If you’ve set a library to use the Plex Movie agent:
Manage Library > Edit…Advanced tab