Hi Adam,
I took a look at your screenshots.
In the Restore view, if you click the drive in the tree view, on the right-side frame of the wizard, you do see the Backup Method.
Also, after your Dec 1 Full Backup, did you run another Synthetic Full Back...
In the Jobs view (under a computer), when you select a Synthetic-Full job and click Restore, you will see only Full Backup Sets. When you select a Synthetic-Incremental job and click Restore, you will see only Incremental Backup Sets. i.e. you will b...
Please see this link: (the link is about upgrading to CASO, but it answers your question)
Excerpt:
you cannot add a managed Backup Exec server that runs Backup Exec 2010 if the central administration server runs Backup Exec 2012