I have a 2015 1.4 litre manual, so a different beast, but a couple of things may correlate.
Regards road noise, very noisy to me, I have dynomatted (chinese ping jing) https://www.ebay.com.au/itm/282473709103
the boot/rear up to the rear foot well, half of the rear hatch (ran out) plus the front passenger door, I need to do the other doors and main floorpan and front wall. I think it has made an improvement, but I didn't do any sound readings, so could be "seat of pants" feeling/sounding! I expect the other doors alone would also help. I think some mat plus foam up the front may be better, but it will be a while before I pull this apart again...., it started with me fitting the reverse camera.
Aircon, the aircon cycles on/off a lot while idling, I think it probably uses a thermo sensor in the evaporator itself, but could also be short cycling on high pressure cutout due to lower air flow at idle without the car moving, I haven't checked, yes it seems excessive. To check, open windows and turn fan up full and set on fresh air and time the on/off, if the ON time extends, then it's most likely cycling on the evap thermostat.