Central Air Wiring Question

I need to re-wire the control wire from my thermostat to my central AC unit. Taking a look in the manual, it shows the diagram which wire goes where, but on each of the three main wires it has a box. The boxes are labelled “Cooling system,” “Fan relay” and “Heating system.” Does that mean the wire should go through those systems before going to the transformer? I attached the wiring diagram for reference. Thermo is a White-Rodgers 1f80-51.
thermostat0037-5285_Page_3.jpg (46.4 KB)

does your thermostat have a (c) terminal? If so hook one wire going out to your condensing unit to (c) terminal and the other to the (y) terminal. You should only have 2 wires going outside. Your t stat contacts close r to y in cooling

The terminals you see in the diagram are the only ones it has. Are you saying a two-lead wire should go from the C & Y terminals on the thermo to the outside unit? (Don’t have a C terminal, but whatever)

Yellow wire should go to - Y
Green wire should go to - G
Red wire should go to - R
White wire should go to - W

Then there should be a jumper wire between RC (cool) & RH (heat)

the 2 wire from the Ac to the Furnace should be wired on the Y & C terminals - and PLEASE :eek: DISCONNECT THE POWER B4 WORKING!