Hey, Jeff. Emily isn't here today but I will do my best to help.
Looking at your photos I can tell you right off the bat that 82-042 isn't going to have the clearance you need to close your screen door. This sticks out from the door about the same distance as a more standard handle, maybe a little less. Your screen door, meanwhile, looks almost completely flush with the glass door. It's possible I'm being thrown off by the perspective of the photo but unless you can find an exterior handle that's totally flush with the door, you're going to be in trouble.
That's a problem in and of itself: we don't sell a flush exterior handle and those aren't all that common to begin with. I agree with Emily's assessment: something went very wrong with the installation of these doors. Either someone picked the wrong screen door or the wrong patio glass door and just left it as-is. Or, the door was just repaired at some point in the past using the wrong hardware.
I agree that your best bet in this case is to try to get in touch with the original manufacturer. If you're lucky, then you're looking at the second scenario: someone repaired this door using the wrong parts, so all you need to do is get the hardware that was specifically meant to go with this setup. The manufacturer should be able to help you with that.
If you're unlucky, then everything is wrong top to bottom and you may be looking at the possibility of having to buy new doors altogether.