[X83]

That climate control panel might be from a from a Brazilian or Australian vehicle and the wiring pinouts are completely different than the Civic's here in the USA. The hose barb point and other connector are for the interior temperature sensor.

 

[X83]

Interesting that the 2012 Civic Hybrid would have all digital button ac controls and the Civic EX-L came with knobs. It seems you have ac controls with heated side mirrors and seats so it will be even more difficult to locate. You may want to use a parts locator service like Hollander Parts to find this AC control panel.

 

[X83]

Technically the A/C should start with the recirculation flap open when the vehicle is first started, and it should switch the flap on once the interior temperature has cooled down depending on the digital temperature setting. Maybe you are having an issue with the solar sensor on the dashboard or interior ambient temperature sensor causing a problem. Check to make sure they're both connected, and the interior temp sensor should have a hose attached going into the blower case. Also, you may want to check the A/C pressures to make sure they're within specification because these vehicles seem to lose refrigerant with age.