Thanks for the help, Osman.
Try this Revision 8, with changes to Rungs 24 and 36.
Now that we know how the machine works, in hindsight there are probably much easier ways that would work better on the ZEN programmable relay. Possibly the Timers that control Q2 could be placed together, and then I1 switch could be used to trigger a shunt contact that diverted the program flow past the Q2 timers.