If you have not been able to get SPSS to run on Catalina, here's a couple of solutions that may fix your issue. Thanks to the Technical Systems team at the Vice Provost for Technology and Learning (VPTL)!
Detailed instructions at IBM SPSS to fix Error 7001 Symptom 18 - There is no license for IBM SPSS Statistics authorized user: https://www.ibm.com/support/pages/error-7001-symptom-18-there-no-license-ibm-spss-statistics-authorized-user
Another issue with Catalina is its lock down of permissions to increase security. Confirm that Catalina has full disk permissions to access your Mac. Under System Preferences (Apple menu), select Security & Privacy, then the Privacy tab. Scroll down to Full Disk Access and make sure that the SPSSStatistics.app is listed and checked in the list. Add SPSS if it's not on the list.