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 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.