We still do not have enough information to help you in this thread or in the other thread that you have currently appearing in the Adobe Premiere Elements Forum.
In the thread that we are in now....for this second computer
1. What version of Premiere Elements and on what computer operating system is it running?
2. What is this "My Adobe" that is not opening. Is that the name of the project file that will not open?
3. Have you move, deleted, or renamed files imported into the project after you saved closed the project?
Please review the Adobe document on damaged projects and determine if any of that applies to you.
Please review and consider and supply more information for us to help you.