Although you can edit WMV files in Premiere Elements, it's not a format the program works with well.
If you're going to work with WMV files, I'd very much recommend you use Windows MovieMaker instead to your editing.
Although the program is no longer officially offered by Microsoft, you can find older versions of it at various download sites.
Particularly since what you're doing isn't particularly high level editing, I'd very much you go that route rather than trying to make Premiere Elements work for your purposes.
Thank you for your reply. It has added to my knowledge of the situation.
But. . . . . It doesn't really address my issues. Editing is only part of the problem. I want what I want, and I don't want to be told that I should want something else even if the reason is a very good one. Part of the answer is that Premiere Elements version 12 doesn't even provide an option to save the edited result as a WMV file. Maybe I should return to a previous version of Premiere Elements because years ago I know that I could save an edited result as a video file in WMV format.
Sometimes just asking the question inspires me to investigate for a better solution. What I found after additional investigation was that the answer to my question was in the drop-down sub-menu that appears unintuitively under the main menu option "Windows". The sub-menu choice that was the answer to my question was "Share". The "Share" option gives me a choice of saving my edited result in one of 5 different file format presets that is appropriate for the kind of device that I expect somebody else is use to watch the video that I just created. The 5 different sub-menu choices were called "presets", and WMV wasn't part of any option choice. It spares me and others of the burden of being familiar with all the different parameter choices that must be made to save an edited result in a way that others can watch the video in. That is a good way to provide functionality to those of use who don't want to have to be a video-audio engineer to get usable results. But there should still be a "custom" option for saving a result in whatever file format the user wants to save their work result in. There was in the previous version of Premiere Elements that I spoke of.
It does turn out that WMV was not the best choice of file format for what I wanted to do any way. I don't expect you to be a subject mater expert on all things video. In my question I did state that Windows Media Center (WMC) was the primary software application that I was using to observer my videos edited or otherwise. Being "Windows Media Center" I should expect that it would "play" media in whatever file format is given to it. I don't know to what degree that is the case, but MPEG is one of the file formats in the presets that I had to choose from described above. WMC played my edited file just fine.