i just flew AA with avios and i checked in at kiosk and walked to security holding my teffilin bag, breifcase, and mini suitcase, and they didnt tell me anything.
once you get to the plane they will prob check under for free ur bags cuz they dont fit on the overhead many times.
i once did the same thing + a suit bag and i was trying to figure out where to put everything on the plane and the FA made a face and asked "how'd they let you on with all that?!"