> 2. We try to only run a/c when we need it (I have the climate control
> system), but when I turn the system off, warm/hot air flows through
> the vents, even on a cool day. I'm used to air coming through that is
> roughly the temperature of the outside air. Is there something else I
> need to do?

I also have a 2004 Accord EX-L 4-cyl with automatic dual climate control.

To get the vents distributing air at the same temperature as the outside
air, but without the A/C, here are the steps you need to follow:

1) Push the A/C button so that it says, "A/C OFF," in the display.
2) Push the Mode button consecutive times so that the arrows point where
you want to direct the interior airflow. For example, if you want cool
air blowing on your face, select the Mode function with the arrow pointing
at the upper body.
3) Turn both temperature knobs so that they are on the cool setting,
estimated to be cooler than the outside air (if you want cooled air).
If you keep one knob warm, the overall air would not be quite as cool.

Rob, I do think that you may be forgetting step 3) above to direct cooled
air without the use of A/C. These three steps work in my car.

Paul