You can never, never transfer an installed copy of PSE. PSE is not a tidy package like most mac apps; the installer strews stuff all over your hard drive and neither you nor the migration assistant can ever hope to find all the necessary bits and pieces.
Now you have kind of a mess to clean up. First download and run this:
Use the CC Cleaner Tool to solve installation problems | CC, CS3-CS6
It won't seem to do anything, but it's necessary in order for you to be able to successfully manually remove what did get transferred so that you can reinstall PSE.
Then go around and remove all the bits you can find, not only from applications but from your user>library>preferences and especially from hard drive>library>application support. Note that those are two different libraries.
Then you can reinstall PSE from scratch.