Crit rate question

Is the crit rate for the entire party or just the monster that has the skill?

Just the monster with the skill.

I was asking because Im running 2 cru monsters in my lineup and it seemed to me that my other monsters were also critting more often

Actually, if you read the battle log, it reads just the same as IPA or DED. "your monsters' critical rate increased by x%! So it might affect the party.

Nope, it only affects on the moster using it. You know it by the fact that both your monsters are able to use it in the same battle. Skills that affect the whole party dont stack.