I will talk about what you need for the new unit, but I am not clear what those four wires are for the old one. I will speculate, but so can you, so.....
So the New unit has two communications ports as you can see. Your old wiring has the phone communications wire. If it is wired correctly you can plug it into either port. The spare is to daisy chain multiple zones to the same CCC2. The thin 2 wire connector is for an optional inside remote temperature sensor. You will be using the one on the CCC2 I would guess, so leave that disconnected.
I will assume you have already wired 120 V (three wire, hot neutral ground) to the roof unit, and
12V 2 wire + and - to the roof unit. if not, perhaps two of the four wires are for the
12V.....
You also have two wires going to the furnace from the old system. It allows the CCC2 to turn on the furnace. Perhaps two of these four wires is for the furnace. the furnace wires connect to the roof unit control board also.
The remaining Wiring bundle is used for optional connections to alternate controllers and devices you don't have.