Your log shows several errors of missing objects that are surely and always installed with GSX, so you shouldn't miss those.
A common reason for this, is having manually copied one of both fsdreamteam-gsx packages in the Community folder, which is a mistake and not how we install GSX normally. This can also happen without realizing it if you used a backup software that is not correctly configured to handle Symbolic links so, when restoring files, it changed the links into actual folders, preventing from getting any updates, because the FSDT updater always work in the Addon Manager folder, while the sim will now only see the real folders in the Community, which might be outdated.
To verify if this is the issue, check the two gsx packages in the Community folder, and if one or both don't have the small arrow in the folder icon (which indicates a link), REMOVE the folder.
Then, go back in the FSDT Installer, which now will show "Relink", and click it, so the links will be created again.