brc01, thank you for posting the AA letter. Two things:
1) Are you carrying balances on credit cards? Paying off the balance by the due date is too late. You have to zero out the credit card account prior to the statement being cut. The general rule is that all accounts but one should have a zero balance. The one account doesn't need a big balance showing.
2) It seems like the credit card issuers are giving points even after the account is closed. I got miles on a Citi AA Exec card that I closed prior to the statement being cut.