No, it shouldn't be reported as late (need to be 30 days late or more) to the credit agencies. If I have a long history with a company, I call and ask to have the late charge waived. They nearly always will waive the late fee (once a year or so) if you have a prompt payment history.

You can set up an auto pay debit for all your cards. Generally a good idea at least for the minimum payments, but I have all mine set up to pay the balance in full every month. Log in on line and follow the prompts on the payment page.