the statement credits are issued on the same statement as the charge is put trough, in effect offsetting each other, like a bill then a credit. But who knows how weird your accounting department is on those types of things. it'd look like a charge then an OOPS wrong card, credit off - sorry accouting.
You DO have to enroll at the platinum amex website and designate the airline of choice before expecting the credits.
I assume you are talking about the $200 (I may be wrong it may be more)credit they give towards misc.. airline fees. I got a $150 credit against a change fee actually...so mines almost used. it offsets meals, DirecTV, late fees etc. assume it will offset admission fees for single days.
ALso note they give you priority Pass, but it no longer accepted by UA and CO on Oct. 1, but does work with other lounges.