Walt, sounds like things are coming together for you.
I kind of figured the last "breaker" was actually a disconnect.
I see no reason you can't use the panel in a "utility closet" but a clothes closet is a no no. Also, you should have a 30" clear wall space standing in front of the panel, and some clear space above and below it.
I previously stated you needed to locate your disconnect within 25 ft and line of sight of the outside unit but someone picked up on it and I was wrong:
Disconnecting means shall be located within sight from and readily accessible from the air-conditioning or refrigerating equipment. The disconnecting means shall be permitted to be installed on or within the air-conditioning or refrigerating equipment.
The disconnecting means shall not be located on panels that are designed to allow access to the air-conditioning or refrigeration equipment or to obscure the equipment nameplate(s).
Also, as you can see, it could be located on the AC unit, if need be.
Good Luck from Columbiana, Alabama