Hello Robert (AND Robert

)
Both rules you brought into discussion are... well, discutable. And the PP checks for one very likely scenario - which indeed may not be the only right one in real life.
The exact order in which lights should be turned on (and off) slightly differs from author to author as far as I could read myself about this topic.
As for startup vs. pushback, PP sticks to one scenario where the engines are started after pushback is complete (and the parking brakes set on again). Although I am not very familiar with procedures worldwide, I can confirm that this is the "standard" scenario on some airports in real life too.
One hint to avoid nasty PP penalties surprises is to check on the web site, PP section, "Pilot Lounge" page, the complete list of checks and associated penalties.
Once you are familiar with these, they should be pretty easy to avoid. And of course, if you think some of these checks need improvement, that's very well worth discussing for the next PP version (there is an open debate on this subject as you probably have noticed in the forums).
Happy flying and zero penalties!
Andrei