Plot hole: After Rex learned that he was not really a DiMera but in fact a Brady, he suddenly became "poor." But a lot of things don't add up. Firstly, after Tony died, there was never a funeral or a will reading shown, but it seems likely that the twins would have been left something. Secondly, Rex graduated from college in the spring of 2003 and is an incredible genius who invented a laser that turns coal into diamonds. So although he might be on his own financially, he should be able to get a pretty good job without much trouble, but there's no indication that he has even tried. But Rex being poor has instead become a significant plot device, because Bonnie does not want him to marry her daughter Mimi as a direct result of it.
The Wedding - S5-E11
Plot hole: In the episode "There Goes the Bride," Haji warns Jeannie that she will lose her powers if she marries Tony. Yet, she marries him in this episode and does not lose her powers.
Happy Birthday... Everybody - S3-E20
Plot hole: After a chance meeting in Mexico, Tom Matthews invites Kelly and Scott to his home for dinner. The address is unlisted, neither knows where the other lives or is staying, and no address or phone information is exchanged before they part. But Kelly and Scott somehow find the house anyway. (00:09:50)
Plot hole: The Jupiter 2 crew is duplicated; however, the aliens had never seen Penny (or Judy I think). How can they be duplicated? The aliens don't have ability to know who were there, or they wouldn't have questioned Smith about the crew. Also, they do not know Smith and Will are hiding. So, they don't arm to have any special power to know beyond what they actually observe.
The Night of the Raven - S2-E3
Plot hole: Antoinette is making miniature clothes for the soon-to-be shrunken West, but when West drinks the antidote to make him normal-sized, he is wearing the same clothes which would have been shredded as he grew back to normal size.
Suggested correction: Considering they have a tailor (Newkirk) and are air dropped everything from explosives to penicillin, a Class A dress uniform would hardly be a challenge to make or receive.
stiiggy
Klink: "Hogan, where did you get that uniform?!" - Hogan: "Oh, I had OSS airdrop it together with our latest shipment of explosives and ammunition. We brought it in through our tunnel last night and stored it there."
Doc ★
I got it from the Red Cross.
stiiggy
Only a few high ranking intelligence officers are aware of Hogan's mission. Hogan's activities would under normal circumstances be considered fraternisation. While it might be true that he could theoretically obtain a class A uniform via the red cross, doing so would brand him as a collaborator and traitor.
Doc ★