The Outpost insignia isn't germane because it's not starship crew.
Re the Justman memo: production dates below.
Lucas, John Meredyth
Shoot dates: 12/7-12/14/67
The Omega Glory
Shoot dates: 12/18-12/26/67
As I recall, the dates I have here are confirmed shoot dates, but I understand some days may not be accounted for. The Dec. 18th memo date and the admonition not to change the insignia would indicate the episode in question would be Omega Glory, since the previous episode would have wrapped and there'd be nothing to fix.