Assuming "C" means business class, JL has a shared-access lounge in LAX, and you'd be entitled to use that on your outbound.
JL should have its own lounge in KIX for your return flight.
If C = coach, then no lounge access in any airport.
Your AA Gold status won't be a factor.
[This message has been edited by Plato90s (edited 08-28-2003).]