Both of their hands were abysmal (likely because they were both trying to lose).
Neither of them got any type of poker hand -- not even a pair. The baron won due to having a higher card than Carynne (ace > nine).
Since she reincarndated in 1990, September 15th, 2008 is her 18th birthday. Aka when the original "fall to ruin" event occured.
It's also when the last event in the chapter occurs.