SD, as far as I understand bean_ian never did the skills test for the FAA PPL, just the JAA PPL. So all he has is a JAA class 2 medical with a restriction, a JAA PPL with NQ (to be applied for), and an FAA class 3 medical which doubles as a student pilot certificate.
So the only FAA license he has (referring to your first post) is the student license. Only valid within the US (I think - this is not one of the ICAO recognised licenses), only valid on N-reg aircraft, requires an instructor (presumably an FAA-instructor) to sign off before each flight, and does not allow him to take passengers. Not very useful in the UK, I guess... But that's something that you did imply in your first post.