What did you purchase - Premiere Elements 13 as an download from Adobe? If so, what is that computer operating system? What is the computer
operating system that you want to go to?
Or did you purchase Premiere Elements 13 in box packaging and coming with 2 installation discs (one for Windows and one for Mac)?
Adobe allows you to install the same purchased activated serial number on no more than 2 of your computers. What has been written about
here by some is that the Adobe License says you should not run the 2 at the same time. So, you are OK on the number of computers.
But, the question is what installation files do you have? If installation files for Windows, no good for new Mac computer or vice versa.
And, downloads are typically specific to the operating system to which they are downloaded.