2015 Cruze 1.4L engine 6 speed AT
The output of the alternator is controlled by the BCM/ECM and it isn't a set value (ie 14.4V) like the old days. That said 13.6V sounds low, after starting it should read about 14.5V for a while.The display shows the battery is charging at 13.6v
All the stuff you did was good and would have normally fixed any issue. Have you checked the fuses in the battery box?
I could try helping, but you need access to a multimeter.