If you did not receive an email or correspondence which outlines the steps for qualifying for a higher CL over a period of time with usage and on-time payments, then the $500 SL is the minimum for approval. Not all $500 SL approvals qualify for that option.
Would multiple PIF payments over the course of one statement spook Amex? I'd like to put some serious grocery spend on the card, but with a family of 7, the $500 limit isn't enough.
You can do this but, during the first statement if you have them pull from your account you can only make 1 payment. If you push them from your bank bill pay you can send as many as you want but you have the delay of them mailing the payments.