The error message seems to be related to your reinstall of the program, not the original problem. If you are continuing to have problems with the installation, I suggest you use the Adobe CC Cleaner Tool. The name is misleading because it also works on Elements. However, it is a little difficult to use. When you get to the following dialog, you must choose: 1. All.
This will take you to another list with your version of Elements 16.0. Enter the number from the list and the cleaner should then work. Once that is done, I suggest rebooting your computer and starting the installation again. Once the program is properly installed, we can see if you still have a problem opening the Organizer.
Adobe support told me that issue was due to uncompatibility with my Windows version which is a 64bit version; that's make no sense as I havec allways had this version , as well I installed Photoshop 2018 2 yaers ago...Anyway I bought version 2020 and it's ok now.
I keep your cleaner tool in a corner , it can be usefull for future,