Two different accounts and email addresses -- can't get in

My employer recently purchased an institution-wide license for Acrobat Pro, which I am now set up for on my laptop. But now when I try to enter Photoshop or Lightroom, which I have through an individual paid subscription, it won't let me in and it tells me that my license has expired. It's not. I went to the Adobe website and logged in with my email address and password from my individual account. It's showing me the recent files that I had saved to the Creative Cloud, which is not all of my files, and it's giving me the option to download the desktop app. But I already have the desktop app, or at least I did before. If I download it again, will it keep all the files that I have in there, or do I lose them all? I use Photoshop and Lightroom frequently and have them in the access tray at the bottom of my screen. I would like to be able to click there to open them (or click on a file in my hard drive) without having to log in through the Adobe website all over again every time I use them. How can I do this? It seems like you should be able to have two different accounts with two different email addresses and have it work more smoothly than this. I would like a permanent fix to this that I can somehow set up on my computer, rather than having to troubleshoot it every time I enter one of these programs.