Photoshop Elements 13 Non-stop requests to sign in to Adobe

Hello all,
This is my first post and I apologize for its length.
I've been using PSE 13 since 2014. (I know I'm behind the times, but it does what I need.)
A few weeks ago oddly, my Windows 10 PC crashed and coincidentally, my Seagate back up drive failed right about the same time.
I logged into my Adobe account to find my product keys for PSE & PRE and downloaded both programs in the same version (13) that I owned.
During installation, I was asked to sign into Adobe for verification which I did and installation proceeded. I put in my product key when asked and thought all was well when installation was complete.
I tried to open PSE and got a message saying I need to sign in to Adobe AGAIN for verification or some such. After signing in again & again, I still cannot use the program, I keep getting blocked by the same sign in screen.
In less that 24 hours I tried 5 times without success, I'm beside myself. I haven't yet tried PRE, frustration level is too high. 🙂 I'm very comfortable with computers and software, but I've never come across a sitiation like this.
I understand that companies need to protect their properties, but this is ridiculous! This is a program I purchased directly from Adobe and registered it back then. It shows in my profile.
Any and all advice would be welcome. Thank you!