It is what it is. This is an old story.
Premiere Elements 11, 12, and 13 are significantly different from version earlier than 11 with regard to dual monitor feature.
Loss of memory of dual monitor set up after the save close of the project is part of the matter.
Originally written about in Premiere Elements 11 Daily Discoveries at another forum.
That's frustrating, and I see from the posts you indicated that this has been going on for two or three years. I wonder why Adobe can't or won't change the app back to the way it was back in PE10, my immediately previous version. I'm actually now wondering for the first time if I want to stick with PE even though, unfortunately, Vers 13 cost me a great deal of money. Crazy.
Given the history on this, not sure what the outcome, but have you considered filing one of those Adobe Feature Request Bug Report Forms?
If you purchased a download from Adobe direct and are within 30 days of purchase, you should be able to ask for return/refund. However, if you
purchased elsewhere you would need to deal with the seller and the seller's return/refund policy.
Best wishes for whatever your video editing choices are.
Thank you ATR; I used the Feature Request form you suggested.
I'll certainly think about the refund.
Thanks again for your advice.