I've put off posting this for a long time, because it seems like such a silly problem. But it's a problem that keeps coming back to bite me in the butt, so here it is.
All I'm trying to do is outline parts of a blueprint, to separate some sections. Should be pretty basic, a few minutes work, but sometimes it just doesn't work. At all. I'm careful to be sure all the lines are on the face and that they are all connected. But whether or not a section actually gets selectable is hit and miss at best. Sometimes when a section has been selected, after I delete and redraw a line exactly as it was it is no longer selectable. And sometimes, when I have an area selected, then draw a line to a corner of that section from outside that area (nothing is done within the area), it is no longer selectable. Basically, every weird thing that can happen, does happen.
I've tried everything I can think of. I delete and redraw lines endlessly. I erase all the lines and start from scratch. I delete the entire file and start from scratch. I make sure the blueprint is planar, I've added it to the side of a cube just to make sure. I've use the Stray Lines plugin, but it only found one line that wasn't connected properly. At one point I even uninstalled and reinstalled SU. No help.
This has happened off and on for months, I never know when it will strike.
I've begged, I've pleaded, I've cussed, I've screamed. My cat is hiding and probably will never come out. I've sprinkled holy water on my computer, and I've come close to throwing my monitor across the room.
I've come to within a mouseclick of posting a question about this several times over the past several months, but I just couldn't bring myself to do it. But I've come to the end of my rope, and if it was a real rope I'd make a noose.
I have very little doubt that I am making some sort of noobie mistake, and that I will be deservedly embarrassed when someone tells me just how dumb I am, but at this point I just don't care. I'm wasting way too much time on this.
I've attached the file, and I also have little doubt that if someone downloads it, it will work perfectly for them.
Please somebody tell me what stupid thing I am doing.

AutoSave_1.skp