The Japanese manual has the info... based on some loose translations, the Luck (star) stat also affects evasion rate.http://suikox.com/forum/viewtopic.php?f=187&t=32246
The Hand icon is the typical Skill/Dexterity stat found in all other Suikoden games. It affects accuracy.
In the other games, it's been found that Skill and Luck play an equal role in determining critical hit rate.
The Running Man icon is Speed, which affects turn order. However, I have seen that there is some randomness in turn order, like enemies sometimes attacking first, and your own characters switching turn orders. I think a ~20 point different in speed still allows the slower character to act before the faster one sometimes.
Also, similar to Suikoden II, spells and items have higher priority than normal attacks and usually activate before anyone's normal attacks.